diff --git a/.github/workflows/links-fail-fast.yml b/.github/workflows/links-fail-fast.yml
index 6df6c439030..be7c5b337ec 100644
--- a/.github/workflows/links-fail-fast.yml
+++ b/.github/workflows/links-fail-fast.yml
@@ -25,4 +25,5 @@ jobs:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
         with:
           fail: true
-          args: --max-concurrency 5 --cache --max-cache-age 1d .
+          # TODO: Remove 429s exception once https://github.com/open-telemetry/opentelemetry-go-contrib/issues/6183 is resolved
+          args: --max-concurrency 5 --cache --max-cache-age 1d --accept 100..=103,200..=299,429 .
diff --git a/.github/workflows/links.yml b/.github/workflows/links.yml
index 623da0bc958..1d9e42f36f2 100644
--- a/.github/workflows/links.yml
+++ b/.github/workflows/links.yml
@@ -30,7 +30,8 @@ jobs:
       env:
         GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       with:
-          args: --max-concurrency 1 --cache --max-cache-age 1d .
+          # TODO: Remove 429s exception once https://github.com/open-telemetry/opentelemetry-go-contrib/issues/6183 is resolved
+          args: --max-concurrency 1 --cache --max-cache-age 1d --accept 100..=103,200..=299,429 .
 
     - name: Create Issue From File
       if: steps.lychee.outputs.exit_code != 0