diff --git a/internal/registry/registry.go b/internal/registry/registry.go
new file mode 100644
index 000000000..76433ca4b
--- /dev/null
+++ b/internal/registry/registry.go
@@ -0,0 +1,38 @@
+/*
+   Copyright 2023 Docker Compose CLI authors
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+*/
+
+package registry
+
+import "github.com/distribution/reference"
+
+const (
+	// IndexHostname is the index hostname, used for authentication and image search.
+	IndexHostname = "index.docker.io"
+	// IndexServer is used for user auth and image search
+	IndexServer = "https://index.docker.io/v1/"
+	// IndexName is the name of the index
+	IndexName = "docker.io"
+)
+
+// GetAuthConfigKey special-cases using the full index address of the official
+// index as the AuthConfig key, and uses the (host)name[:port] for private indexes.
+func GetAuthConfigKey(reposName reference.Named) string {
+	indexName := reference.Domain(reposName)
+	if indexName == IndexName || indexName == IndexHostname {
+		return IndexServer
+	}
+	return indexName
+}
diff --git a/pkg/compose/pull.go b/pkg/compose/pull.go
index 2462355d5..7b6389fce 100644
--- a/pkg/compose/pull.go
+++ b/pkg/compose/pull.go
@@ -34,11 +34,11 @@ import (
 	"github.com/docker/docker/api/types/image"
 	"github.com/docker/docker/client"
 	"github.com/docker/docker/pkg/jsonmessage"
-	"github.com/docker/docker/registry"
 	"github.com/hashicorp/go-multierror"
 	"github.com/opencontainers/go-digest"
 	"golang.org/x/sync/errgroup"
 
+	"github.com/docker/compose/v2/internal/registry"
 	"github.com/docker/compose/v2/pkg/api"
 	"github.com/docker/compose/v2/pkg/progress"
 )
@@ -281,13 +281,7 @@ func ImageDigestResolver(ctx context.Context, file *configfile.ConfigFile, apiCl
 }
 
 func encodedAuth(ref reference.Named, configFile driver.Auth) (string, error) {
-	repoInfo, err := registry.ParseRepositoryInfo(ref)
-	if err != nil {
-		return "", err
-	}
-
-	key := registry.GetAuthConfigKey(repoInfo.Index)
-	authConfig, err := configFile.GetAuthConfig(key)
+	authConfig, err := configFile.GetAuthConfig(registry.GetAuthConfigKey(ref))
 	if err != nil {
 		return "", err
 	}
diff --git a/pkg/compose/push.go b/pkg/compose/push.go
index 79267ebb2..97477eed8 100644
--- a/pkg/compose/push.go
+++ b/pkg/compose/push.go
@@ -29,11 +29,10 @@ import (
 	"github.com/distribution/reference"
 	"github.com/docker/buildx/driver"
 	"github.com/docker/docker/api/types/image"
-	"github.com/docker/docker/api/types/system"
 	"github.com/docker/docker/pkg/jsonmessage"
-	"github.com/docker/docker/registry"
 	"golang.org/x/sync/errgroup"
 
+	"github.com/docker/compose/v2/internal/registry"
 	"github.com/docker/compose/v2/pkg/api"
 	"github.com/docker/compose/v2/pkg/progress"
 )
@@ -51,14 +50,6 @@ func (s *composeService) push(ctx context.Context, project *types.Project, optio
 	eg, ctx := errgroup.WithContext(ctx)
 	eg.SetLimit(s.maxConcurrency)
 
-	info, err := s.apiClient().Info(ctx)
-	if err != nil {
-		return err
-	}
-	if info.IndexServerAddress == "" {
-		info.IndexServerAddress = registry.IndexServer
-	}
-
 	w := progress.ContextWriter(ctx)
 	for _, service := range project.Services {
 		if service.Build == nil || service.Image == "" {
@@ -79,7 +70,7 @@ func (s *composeService) push(ctx context.Context, project *types.Project, optio
 
 		for _, tag := range tags {
 			eg.Go(func() error {
-				err := s.pushServiceImage(ctx, tag, info, s.configFile(), w, options.Quiet)
+				err := s.pushServiceImage(ctx, tag, s.configFile(), w, options.Quiet)
 				if err != nil {
 					if !options.IgnoreFailures {
 						return err
@@ -93,22 +84,13 @@ func (s *composeService) push(ctx context.Context, project *types.Project, optio
 	return eg.Wait()
 }
 
-func (s *composeService) pushServiceImage(ctx context.Context, tag string, info system.Info, configFile driver.Auth, w progress.Writer, quietPush bool) error {
+func (s *composeService) pushServiceImage(ctx context.Context, tag string, configFile driver.Auth, w progress.Writer, quietPush bool) error {
 	ref, err := reference.ParseNormalizedNamed(tag)
 	if err != nil {
 		return err
 	}
 
-	repoInfo, err := registry.ParseRepositoryInfo(ref)
-	if err != nil {
-		return err
-	}
-
-	key := repoInfo.Index.Name
-	if repoInfo.Index.Official {
-		key = info.IndexServerAddress
-	}
-	authConfig, err := configFile.GetAuthConfig(key)
+	authConfig, err := configFile.GetAuthConfig(registry.GetAuthConfigKey(ref))
 	if err != nil {
 		return err
 	}