diff --git a/.github/workflows/cover.yaml b/.github/workflows/cover.yaml
deleted file mode 100644
index 2fee64d64..000000000
--- a/.github/workflows/cover.yaml
+++ /dev/null
@@ -1,36 +0,0 @@
-# Workflow derived from https://github.com/r-lib/actions/tree/v2/examples
-# Need help debugging build failures? Start at https://github.com/r-lib/actions#where-to-find-help
-on: [push, pull_request]
-
-name: cover
-
-jobs:
-  cover:
-    runs-on: ubuntu-latest
-    env:
-      GITHUB_PAT: ${{ secrets.GITHUB_TOKEN }}
-      NOT_CRAN: true
-      R_REMOTES_NO_ERRORS_FROM_WARNINGS: false
-      TORCH_INSTALL: 1
-
-    steps:
-      - uses: actions/checkout@v2
-
-      - name: Install Linux system dependencies
-        if: runner.os == 'Linux'
-        run: |
-          sudo apt-get update
-          sudo apt-get install libglpk-dev libglpk40
-
-      - uses: r-lib/actions/setup-r@v2
-        with:
-          use-public-rspm: true
-
-      - uses: r-lib/actions/setup-r-dependencies@v2
-        with:
-          extra-packages: any::covr
-          needs: coverage
-
-      - name: Test coverage
-        run: covr::codecov(quiet = FALSE)
-        shell: Rscript {0}
diff --git a/.github/workflows/lint.yaml b/.github/workflows/lint.yaml
deleted file mode 100644
index 3f4df0b30..000000000
--- a/.github/workflows/lint.yaml
+++ /dev/null
@@ -1,26 +0,0 @@
-# Workflow derived from https://github.com/r-lib/actions/tree/v2/examples
-# Need help debugging build failures? Start at https://github.com/r-lib/actions#where-to-find-help
-on: [push, pull_request]
-
-name: lint
-
-jobs:
-  lint:
-    runs-on: ubuntu-latest
-    env:
-      GITHUB_PAT: ${{ secrets.GITHUB_TOKEN }}
-    steps:
-      - uses: actions/checkout@v2
-
-      - uses: r-lib/actions/setup-r@v2
-        with:
-          use-public-rspm: true
-
-      - uses: r-lib/actions/setup-r-dependencies@v2
-        with:
-          extra-packages: any::lintr, local::.
-          needs: lint
-
-      - name: Lint
-        run: lintr::lint_package()
-        shell: Rscript {0}
diff --git a/DESCRIPTION b/DESCRIPTION
index 031b97087..5964c78dc 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -1,6 +1,6 @@
 Package: drake
 Title: A Pipeline Toolkit for Reproducible Computation at Scale
-Version: 7.13.5.9000
+Version: 7.13.6
 Authors@R: c(
   person(
     given = c("William", "Michael"),
@@ -120,7 +120,7 @@ Suggests:
   bindr,
   callr,
   cli (>= 1.1.0),
-  clustermq (>= 0.8.8),
+  clustermq (>= 0.9.0),
   crayon,
   curl (>= 2.7),
   data.table,
diff --git a/NEWS.md b/NEWS.md
index 61764bd10..c4b55284c 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -1,6 +1,6 @@
-# Version 7.13.5.9000
-
+# Version 7.13.6
 
+* Migrate to the new interface in `clustermq` 0.9.0 (@mschubert).
 
 # Version 7.13.5
 
diff --git a/R/backend_clustermq.R b/R/backend_clustermq.R
index 2b74ac189..ffa1efad1 100644
--- a/R/backend_clustermq.R
+++ b/R/backend_clustermq.R
@@ -49,43 +49,28 @@ cmq_set_common_data <- function(config) {
     export <- as.list(config$envir, all.names = TRUE) # nocov
   }
   export$config <- hpc_config(config)
-  config$workers$set_common_data(
-    export = export,
-    fun = identity,
-    const = list(),
-    rettype = list(),
-    pkgs = character(0),
-    common_seed = config$settings$seed,
-    token = "set_common_data_token"
-  )
+  do.call(what = config$workers$env, args = export)
 }
 
 cmq_main <- function(config) {
-  on.exit(config$workers$finalize())
+  on.exit(config$workers$cleanup())
   config$logger$disk("begin scheduling targets")
   while (config$counter$remaining > 0) {
     cmq_main_iter(config)
   }
-  if (config$workers$cleanup()) {
-    on.exit()
-  }
 }
 
 cmq_main_iter <- function(config) {
-  msg <- config$workers$receive_data()
-  cmq_conclude_build(msg = msg, config = config)
-  if (!identical(msg$token, "set_common_data_token")) {
-    config$logger$disk("sending common data")
-    config$workers$send_common_data()
-  } else if (!config$queue$empty()) {
+  build <- config$workers$recv()
+  cmq_conclude_build(build = build, config = config)
+  if (!config$queue$empty()) {
     cmq_next_target(config)
   } else {
-    config$workers$send_shutdown_worker()
+    config$workers$send_shutdown()
   }
 }
 
-cmq_conclude_build <- function(msg, config) {
-  build <- msg$result
+cmq_conclude_build <- function(build, config) {
   if (is.null(build)) {
     return()
   }
@@ -158,8 +143,8 @@ cmq_send_target <- function(target, config) {
   spec <- hpc_spec(target, config)
   config_tmp <- get_hpc_config_tmp(config)
   config$logger$disk("build on an hpc worker", target = target)
-  config$workers$send_call(
-    expr = drake::cmq_build(
+  config$workers$send(
+    cmd = drake::cmq_build(
       target = target,
       meta = meta,
       deps = deps,
@@ -167,13 +152,11 @@ cmq_send_target <- function(target, config) {
       config_tmp = config_tmp,
       config = config
     ),
-    env = list(
-      target = target,
-      meta = meta,
-      deps = deps,
-      spec = spec,
-      config_tmp = config_tmp
-    )
+    target = target,
+    meta = meta,
+    deps = deps,
+    spec = spec,
+    config_tmp = config_tmp
   )
 }
 
diff --git a/R/backend_future.R b/R/backend_future.R
index 10e1dfd4f..bf4ba3bd4 100644
--- a/R/backend_future.R
+++ b/R/backend_future.R
@@ -115,12 +115,12 @@ ft_launch_worker <- function(target, meta, protect, config) {
 }
 
 future_globals <- function(
-  target,
-  meta,
-  config,
-  spec,
-  config_tmp,
-  protect
+    target,
+    meta,
+    config,
+    spec,
+    config_tmp,
+    protect
 ) {
   globals <- list(
     DRAKE_GLOBALS__ = list(
@@ -161,12 +161,12 @@ future_globals <- function(
 #' @param protect Names of targets that still need their
 #' dependencies available in memory.
 future_build <- function(
-  target,
-  meta,
-  config,
-  spec,
-  config_tmp,
-  protect
+    target,
+    meta,
+    config,
+    spec,
+    config_tmp,
+    protect
 ) {
   config$spec <- spec
   config <- restore_hpc_config_tmp(config_tmp, config)