diff --git a/.github/workflows/close-preview.yml b/.github/workflows/close-preview.yml
index 2551f50382b2..a8a6503f2f4f 100644
--- a/.github/workflows/close-preview.yml
+++ b/.github/workflows/close-preview.yml
@@ -9,9 +9,6 @@ on:
   pull_request_target:
     types: [closed]
 
-concurrency:
-  group: preview-site
-
 jobs:
   close:
     runs-on: ubuntu-latest
diff --git a/.github/workflows/deploy-preview.yml b/.github/workflows/deploy-preview.yml
index 22b12ca01289..b87fd2355e36 100644
--- a/.github/workflows/deploy-preview.yml
+++ b/.github/workflows/deploy-preview.yml
@@ -17,9 +17,6 @@ permissions:
   pull-requests: write
   actions: read
 
-concurrency:
-  group: preview-site
-
 jobs:
   deploy:
     if: github.event_name != 'workflow_run' || github.event.workflow_run.conclusion == 'success'
@@ -79,6 +76,11 @@ jobs:
             console.log(`Found PR ${pr.html_url}`);
             console.log(pr);
 
+            if (pr.state !== "open") {
+              console.log(`PR ${pr.number} is not open`);
+              return null;
+            }
+
             if (!pr.labels.some((label) => label.name === "deploy-preview")) {
               console.log(`PR ${pr.number} does not have the deploy-preview label`);
               return null;