diff --git a/ci/compute-matrix.py b/ci/compute-matrix.py
index 0af7da47279..45309fe343a 100755
--- a/ci/compute-matrix.py
+++ b/ci/compute-matrix.py
@@ -251,14 +251,15 @@ def generate_dispatch_job_json(matrix_job, job_type):
 # Create a single build producer, and a separate consumer for each test_job_type:
 def generate_dispatch_build_and_test_json(matrix_job, build_job_type, test_job_types):
     build_json = generate_dispatch_job_json(matrix_job, build_job_type)
+    nvrtc_json = generate_dispatch_job_json(matrix_job, "nvrtc")
 
     test_json = {}
     for test_job_type in test_job_types:
         test_json.update(generate_dispatch_job_json(matrix_job, test_job_type))
 
     return {
-        "producers": [build_json],
-        "consumers": [test_json]
+        "producers": [build_json, nvrtc_json],
+        "consumers": [test_json, test_json]
     }