diff --git a/Core/composer.json b/Core/composer.json
index 250456a29cee..aa6beee5a4a6 100644
--- a/Core/composer.json
+++ b/Core/composer.json
@@ -8,7 +8,7 @@
         "rize/uri-template": "~0.3||~0.4",
         "google/auth": "^1.34",
         "guzzlehttp/guzzle": "^6.5.8||^7.4.4",
-        "guzzlehttp/promises": "^1.4||^2.0",
+        "guzzlehttp/promises": "^1.4||^2.0||^3.0.0",
         "guzzlehttp/psr7": "^2.6",
         "monolog/monolog": "^2.9||^3.0",
         "psr/http-message": "^1.0||^2.0",
diff --git a/Gax/composer.json b/Gax/composer.json
index bae29e2c1996..d855493b20ce 100644
--- a/Gax/composer.json
+++ b/Gax/composer.json
@@ -13,7 +13,7 @@
         "google/grpc-gcp": "^0.4",
         "grpc/grpc": "^1.13",
         "google/protobuf": "^4.31||^5.34",
-        "guzzlehttp/promises": "^2.0",
+        "guzzlehttp/promises": "^1.4||^2.0||^3.0.0",
         "guzzlehttp/psr7": "^2.0",
         "google/common-protos": "^4.9",
         "google/longrunning": "~0.4",
diff --git a/composer.json b/composer.json
index f6d2d3fe7793..86ed95d5c9c3 100644
--- a/composer.json
+++ b/composer.json
@@ -60,7 +60,7 @@
         "rize/uri-template": "~0.3",
         "guzzlehttp/guzzle": "^7.4.5",
         "guzzlehttp/psr7": "^2.6",
-        "guzzlehttp/promises": "^2.0",
+        "guzzlehttp/promises": "^1.4||^2.0||^3.0.0",
         "monolog/monolog": "^2.9||^3.0",
         "psr/http-message": "^1.0|^2.0",
         "grpc/grpc": "^1.13",