diff --git a/DESCRIPTION b/DESCRIPTION
index 589b2dc..69e7b57 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -46,5 +46,5 @@ Config/testthat/edition: 3
 Encoding: UTF-8
 NeedsCompilation: yes
 Roxygen: list(markdown = TRUE)
-RoxygenNote: 7.2.3.9000
+RoxygenNote: 7.3.1
 Config/Needs/website: rmarkdown
diff --git a/R/OMLTask.R b/R/OMLTask.R
index 4bdd2b6..217a98b 100644
--- a/R/OMLTask.R
+++ b/R/OMLTask.R
@@ -10,6 +10,8 @@
 #'
 #' @section mlr3 Integration:
 #' * Obtain a [mlr3::Task] by calling `as_task()`.
+#'   Note that this only works for classification and regression tasks.
+#'   For survival tasks, see the *Getting Started* vignette on the package website.
 #' * Obtain a [mlr3::Resampling] by calling `as_resampling()`.
 #'
 #' @references
@@ -135,18 +137,21 @@ OMLTask = R6Class("OMLTask",
     },
     #' @field target_names (`character()`)\cr
     #' Name of the targets, as extracted from the OpenML task description.
+    #' For survival tasks, a vector with names `"event"` and at least one of `"left"` and `"right"` is returned.
     target_names = function() {
       source_data = self$desc$input$source_data
+      conv_surv = function(source_data) {
+        target_names = unlist(
+          source_data[c("target_feature_left", "target_feature_right", "target_feature_event")]
+        )
+        set_names(make.names(target_names), gsub(pattern = "^target_feature_", "", names(target_names)))
+      }
       targets = switch(self$desc$task_type,
         "Supervised Classification" = ,
-        "Supervised Regression" = source_data$target_feature,
-        # "Survival Analysis" = unlist(
-        #   source_data[c("target_feature_left", "target_feature_right", "target_feature_event")],
-        #   use.names = FALSE
-        # ),
+        "Supervised Regression" = make.names(source_data$target_feature),
+        "Survival Analysis" = conv_surv(source_data),
         stopf("Unsupported task type '%s'", self$desc$task_type)
       )
-      make.names(targets)
     },
     #' @field feature_names (`character()`)\cr
     #' Name of the features (without targets of this [OMLTask]).
@@ -189,6 +194,8 @@ as_task.OMLTask = function(x, ...) {
     "Supervised Classification" = TaskClassif,
     "Supervised Regression" = TaskRegr,
     # "Survival Analysis" = new_task_surv,
+    "Survival Analyis" = 
+      stopf("For survival tasks, see the 'Getting Started' vignette on the website."),
     stopf("Unsupported task type '%s'.", x$desc$task_type)
   )
   task = constructor$new(name, backend, target = target)
diff --git a/R/list_oml_tasks.R b/R/list_oml_tasks.R
index 809a227..4220441 100644
--- a/R/list_oml_tasks.R
+++ b/R/list_oml_tasks.R
@@ -2,7 +2,7 @@
 #' @param task_id (`integer()`)\cr
 #'   Vector of task ids to restrict to.
 #' @param type (`character(1)`)\cr
-#'   The task type, supported values are: `"clasisf"`, `"regr"`, `"surv"` and `"clust"`.
+#'   The task type, supported values are: `"classif"`, `"regr"`, `"surv"` and `"clust"`.
 #' @export
 list_oml_tasks = function(task_id = NULL, data_id = NULL, number_instances = NULL, number_features = NULL,
   number_classes = NULL, number_missing_values = NULL, tag = NULL, limit = limit_default(),
diff --git a/R/publish_task.R b/R/publish_task.R
index f163d51..81176a2 100644
--- a/R/publish_task.R
+++ b/R/publish_task.R
@@ -10,8 +10,10 @@
 #'   Can either be `"classif"` or `"regr"` or an integer indicating the task type.
 #' @param estimation_procedure (`integer(1)`)\cr
 #'   The id of the estimation procedure.
-#' @param target (`character(1)`)\cr
+#' @param target (`character(1)` | named `character()`)\cr
 #'   The target variable (if applicable).
+#'   For survival tasks, this must be a named vector, containing at least `"event"`, as well as
+#'   either `"left"` (timestamp), `"right"` (timestamp) or both.
 #' @template param_api_key
 #' @template param_test_server
 #'
@@ -30,12 +32,19 @@ publish_task = function(id, type, estimation_procedure, target, api_key = NULL,
     type = switch(type,
       regr = 2,
       classif = 1,
+      surv = 7,
       stopf("Invalid type '%s'.", type)
     )
   } else {
     assert_int(type, lower = 1L)
   }
-  assert_character(target, len = 1L)
+  if (type == 7) {
+    assert_character(target, min.len = 2L, any.missing = FALSE)
+    tn = names(target)
+    assert_true(("event" %in% tn) & ("left" %in% tn || "right" %in% tn))
+  } else {
+    assert_character(target, len = 1L)
+  }
   estimation_procedure = assert_int(estimation_procedure)
 
   add = function(name, value) {
@@ -48,7 +57,17 @@ publish_task = function(id, type, estimation_procedure, target, api_key = NULL,
   task = xml2::xml_add_child(doc, "oml:task_inputs", "xmlns:oml" = "http://openml.org/openml")
   xml2::xml_add_child(task, "oml:task_type_id", type)
   add("source_data", id)
-  if (!is.null(target)) add("target_feature", target)
+  if (type == 7) {
+    add("target_feature_event", target["event"])
+    if ("left" %in% names(target)) {
+      add("target_feature_left", target["left"])
+    }
+    if ("right" %in% names(target)) {
+      add("target_feature_right", target["right"])
+    }
+  } else {
+    if (!is.null(target)) add("target_feature", target)
+  }
   add("estimation_procedure", estimation_procedure)
 
   withr::defer(unlink(desc_path))
diff --git a/man/list_oml.Rd b/man/list_oml.Rd
index cd2d45d..d2727fa 100644
--- a/man/list_oml.Rd
+++ b/man/list_oml.Rd
@@ -131,7 +131,7 @@ Filter for flow id.}
 Vector of setup ids to restrict to.}
 
 \item{type}{(\code{character(1)})\cr
-The task type, supported values are: \code{"clasisf"}, \code{"regr"}, \code{"surv"} and \code{"clust"}.}
+The task type, supported values are: \code{"classif"}, \code{"regr"}, \code{"surv"} and \code{"clust"}.}
 }
 \value{
 (\code{data.table()}) of results, or a null data.table if no data set matches the filter criteria.
diff --git a/man/oml_task.Rd b/man/oml_task.Rd
index c6481b8..5cd81f6 100644
--- a/man/oml_task.Rd
+++ b/man/oml_task.Rd
@@ -14,6 +14,8 @@ This object can also be constructed using the sugar function \code{\link[=otsk]{
 
 \itemize{
 \item Obtain a \link[mlr3:Task]{mlr3::Task} by calling \code{as_task()}.
+Note that this only works for classification and regression tasks.
+For survival tasks, see the \emph{Getting Started} vignette on the package website.
 \item Obtain a \link[mlr3:Resampling]{mlr3::Resampling} by calling \code{as_resampling()}.
 }
 }
@@ -71,7 +73,8 @@ Number of rows, extracted from the \link{OMLData} object.}
 Number of columns, as extracted from the \link{OMLData} object.}
 
 \item{\code{target_names}}{(\code{character()})\cr
-Name of the targets, as extracted from the OpenML task description.}
+Name of the targets, as extracted from the OpenML task description.
+For survival tasks, a vector with names \code{"event"} and at least one of \code{"left"} and \code{"right"} is returned.}
 
 \item{\code{feature_names}}{(\code{character()})\cr
 Name of the features (without targets of this \link{OMLTask}).}
diff --git a/man/publish_task.Rd b/man/publish_task.Rd
index 7c88079..282f45f 100644
--- a/man/publish_task.Rd
+++ b/man/publish_task.Rd
@@ -23,8 +23,10 @@ Can either be \code{"classif"} or \code{"regr"} or an integer indicating the tas
 \item{estimation_procedure}{(\code{integer(1)})\cr
 The id of the estimation procedure.}
 
-\item{target}{(\code{character(1)})\cr
-The target variable (if applicable).}
+\item{target}{(\code{character(1)} | named \code{character()})\cr
+The target variable (if applicable).
+For survival tasks, this must be a named vector, containing at least \code{"event"}, as well as
+either \code{"left"} (timestamp), \code{"right"} (timestamp) or both.}
 
 \item{api_key}{(\code{character(1)})
 The API key to perform the action, if left NULL it first tries the "mlr3oml.api_key" R option and
diff --git a/tests/testthat/test_OMLRun.R b/tests/testthat/test_OMLRun.R
index 6e243fc..69ac6bb 100644
--- a/tests/testthat/test_OMLRun.R
+++ b/tests/testthat/test_OMLRun.R
@@ -5,7 +5,7 @@ skip_on_cran()
 # expect_oml_run works
 #
 # When the test server works:
-# 1. Create run for clasisf, regr and surv (for different predict_types)
+# 1. Create run for classif, regr and surv (for different predict_types)
 # 2. Publish the run.
 # 3. Download the run and convert it.
 #
diff --git a/tests/testthat/test_publish_task.R b/tests/testthat/test_publish_task.R
index 4ae78ee..b2f1488 100644
--- a/tests/testthat/test_publish_task.R
+++ b/tests/testthat/test_publish_task.R
@@ -12,7 +12,7 @@ test_that("Can publish task on test server", {
   }
 
   expect_message({task_id <<- f()}, regexp = NA) # nolint
-  Sys.sleep(5)
+  Sys.sleep(10)
   expect_message(task_id2 <<- f(), "already exists")
   expect_equal(task_id, task_id2)
 
@@ -24,3 +24,19 @@ test_that("Can publish task on test server", {
   expect_equal(otask$target_names, "Species")
   expect_equal(otask$task_type, "Supervised Classification")
 })
+
+test_that("survival", {
+  test_server = TRUE
+  withr::defer(delete(type = "data", id = data_id, test_server = test_server))
+  withr::defer(delete(type = "task", id = task_id, test_server = test_server))
+  data = data.frame(status = sample(c(1, 2), size = 100, replace = TRUE), time = runif(100), x = rnorm(100))
+  data_id = publish_data(data, name = "test_surv", desc = "test rats", test_server = test_server)
+  expect_integer(data_id)
+  Sys.sleep(10)
+  task_id = publish_task(id = data_id, type = "surv", estimation_procedure = 19,
+    target = c(event = "status", right = "time"), test_server = test_server)
+
+  Sys.sleep(5)
+  otask = otsk(task_id, test_server = test_server)
+  expect_equal(otask$task_type, "Survival Analysis")
+})
diff --git a/vignettes/articles/tutorial.Rmd b/vignettes/articles/tutorial.Rmd
index a25721d..3409c1e 100644
--- a/vignettes/articles/tutorial.Rmd
+++ b/vignettes/articles/tutorial.Rmd
@@ -161,6 +161,40 @@ tsk("oml", task_id = 261)
 rsmp("oml", task_id = 261)
 ```
 
+For technical reasons, it is currently not possible to directly convert OpenML survival tasks to {mlr3proba} survival tasks.
+Below, we create an example survival task:
+
+```{r}
+otask_surv = otsk(168753)
+otask_surv
+otask_surv$target_names
+```
+
+Here, `$target_names` always includes a value with name `"event"`, and at least one of `"left"` (timestamp) and `"right"` (timestamp).
+In order to manually create an `mlr3proba::TaskSurv`, we use `mlr3proba::as_task_surv` and pass the data, task id and other metadata to the function.
+
+If:
+* only the `"left"` timestamp is present, pass it as argument `time` and set the type to `"left"` 
+* only the `"right"` timestamp is present, pass it as argument `time` and set the type to `"right"`
+* both `"left"` and `"right"` are present, pass the `"left"` timestamp as `time`, the `"right"` timestamp as `time2` and set `type` to `"interval"`.
+
+```{r, eval = FALSE}
+mlr3_task = mlr3proba::as_task_surv(otask_surv$data$data,
+  id = otask_surv$id,
+  status = otask_surv$target_names["event"],
+  time = otask_surv$target_names["left"],
+  type = "left"
+)
+mlr3_task$feature_names = otask_surv$feature_names
+mlr3_task
+```
+```{r, eval = FALSE}
+## <TaskSurv:rossi> (432 x 9)
+## * Target: week, arrest
+## * Properties: -
+## * Features (7):
+## - int (7): age, fin, mar, paro, prio, race, wexp
+```
 
 ### Flows and Runs