diff --git a/build/linux/debian/calculate-deps.js b/build/linux/debian/calculate-deps.js
index 2bff40cf1d2..ecdb01f541c 100644
--- a/build/linux/debian/calculate-deps.js
+++ b/build/linux/debian/calculate-deps.js
@@ -65,6 +65,15 @@ function calculatePackageDeps(binaryPath, arch, sysroot) {
             depsStr = line.substring(shlibsDependsPrefix.length);
         }
     }
-    const requires = new Set(depsStr.split(', ').sort());
+    // Refs https://chromium-review.googlesource.com/c/chromium/src/+/3572926
+    // Chromium depends on libgcc_s, is from the package libgcc1.  However, in
+    // Bullseye, the package was renamed to libgcc-s1.  To avoid adding a dep
+    // on the newer package, this hack skips the dep.  This is safe because
+    // libgcc-s1 is a dependency of libc6.  This hack can be removed once
+    // support for Debian Buster and Ubuntu Bionic are dropped.
+    const filteredDeps = depsStr.split(', ').filter(dependency => {
+        return !dependency.startsWith('libgcc-s1');
+    }).sort();
+    const requires = new Set(filteredDeps);
     return requires;
 }
diff --git a/build/linux/debian/calculate-deps.ts b/build/linux/debian/calculate-deps.ts
index 9d6c3a9da80..b13d3cdfaaf 100644
--- a/build/linux/debian/calculate-deps.ts
+++ b/build/linux/debian/calculate-deps.ts
@@ -70,6 +70,15 @@ function calculatePackageDeps(binaryPath: string, arch: DebianArchString, sysroo
 			depsStr = line.substring(shlibsDependsPrefix.length);
 		}
 	}
-	const requires = new Set(depsStr.split(', ').sort());
+	// Refs https://chromium-review.googlesource.com/c/chromium/src/+/3572926
+	// Chromium depends on libgcc_s, is from the package libgcc1.  However, in
+	// Bullseye, the package was renamed to libgcc-s1.  To avoid adding a dep
+	// on the newer package, this hack skips the dep.  This is safe because
+	// libgcc-s1 is a dependency of libc6.  This hack can be removed once
+	// support for Debian Buster and Ubuntu Bionic are dropped.
+	const filteredDeps = depsStr.split(', ').filter(dependency => {
+		return !dependency.startsWith('libgcc-s1');
+	}).sort();
+	const requires = new Set(filteredDeps);
 	return requires;
 }
diff --git a/build/linux/debian/dep-lists.js b/build/linux/debian/dep-lists.js
index b355d50f01f..f61968c5170 100644
--- a/build/linux/debian/dep-lists.js
+++ b/build/linux/debian/dep-lists.js
@@ -36,7 +36,6 @@ exports.referenceGeneratedDepsByArch = {
         'libdrm2 (>= 2.4.38)',
         'libexpat1 (>= 2.0.1)',
         'libgbm1 (>= 8.1~0)',
-        'libgcc-s1 (>= 3.0)',
         'libglib2.0-0 (>= 2.16.0)',
         'libglib2.0-0 (>= 2.39.4)',
         'libgtk-3-0 (>= 3.9.10)',
@@ -73,8 +72,6 @@ exports.referenceGeneratedDepsByArch = {
         'libdrm2 (>= 2.4.38)',
         'libexpat1 (>= 2.0.1)',
         'libgbm1 (>= 8.1~0)',
-        'libgcc-s1 (>= 3.0)',
-        'libgcc-s1 (>= 3.5)',
         'libglib2.0-0 (>= 2.16.0)',
         'libglib2.0-0 (>= 2.39.4)',
         'libgtk-3-0 (>= 3.9.10)',
diff --git a/build/linux/debian/dep-lists.ts b/build/linux/debian/dep-lists.ts
index 80fe3264b09..63b14bf16f0 100644
--- a/build/linux/debian/dep-lists.ts
+++ b/build/linux/debian/dep-lists.ts
@@ -36,7 +36,6 @@ export const referenceGeneratedDepsByArch = {
 		'libdrm2 (>= 2.4.38)',
 		'libexpat1 (>= 2.0.1)',
 		'libgbm1 (>= 8.1~0)',
-		'libgcc-s1 (>= 3.0)',
 		'libglib2.0-0 (>= 2.16.0)',
 		'libglib2.0-0 (>= 2.39.4)',
 		'libgtk-3-0 (>= 3.9.10)',
@@ -73,8 +72,6 @@ export const referenceGeneratedDepsByArch = {
 		'libdrm2 (>= 2.4.38)',
 		'libexpat1 (>= 2.0.1)',
 		'libgbm1 (>= 8.1~0)',
-		'libgcc-s1 (>= 3.0)',
-		'libgcc-s1 (>= 3.5)',
 		'libglib2.0-0 (>= 2.16.0)',
 		'libglib2.0-0 (>= 2.39.4)',
 		'libgtk-3-0 (>= 3.9.10)',