diff --git a/CHANGELOG.md b/CHANGELOG.md
index 43db6adafee..514a03c5e50 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -8,10 +8,10 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
 
 ## [Unreleased]
 
-
 ### Changed
 
 - google.golang.org/grpc/otelgrpc: Avoid getting a new Tracer for every RPC.
+- google.golang.org/grpc/otelgrpc: Deprecate Inject and Extract public funcs.
 
 ## [0.36.1]
 
diff --git a/instrumentation/google.golang.org/grpc/otelgrpc/grpctrace.go b/instrumentation/google.golang.org/grpc/otelgrpc/grpctrace.go
index f512cf6e315..712e0f3628b 100644
--- a/instrumentation/google.golang.org/grpc/otelgrpc/grpctrace.go
+++ b/instrumentation/google.golang.org/grpc/otelgrpc/grpctrace.go
@@ -135,29 +135,45 @@ func (s *metadataSupplier) Keys() []string {
 // Inject injects correlation context and span context into the gRPC
 // metadata object. This function is meant to be used on outgoing
 // requests.
+// Deprecated: Unnecessary public func.
 func Inject(ctx context.Context, md *metadata.MD, opts ...Option) {
 	c := newConfig(opts)
-	inject(ctx, md, c.Propagators)
+	c.Propagators.Inject(ctx, &metadataSupplier{
+		metadata: md,
+	})
 }
 
-func inject(ctx context.Context, md *metadata.MD, propagators propagation.TextMapPropagator) {
+func inject(ctx context.Context, propagators propagation.TextMapPropagator) context.Context {
+	md, ok := metadata.FromOutgoingContext(ctx)
+	if !ok {
+		md = metadata.MD{}
+	}
 	propagators.Inject(ctx, &metadataSupplier{
-		metadata: md,
+		metadata: &md,
 	})
+	return metadata.NewOutgoingContext(ctx, md)
 }
 
 // Extract returns the correlation context and span context that
 // another service encoded in the gRPC metadata object with Inject.
 // This function is meant to be used on incoming requests.
+// Deprecated: Unnecessary public func.
 func Extract(ctx context.Context, md *metadata.MD, opts ...Option) (baggage.Baggage, trace.SpanContext) {
 	c := newConfig(opts)
-	return extract(ctx, md, c.Propagators)
-}
-
-func extract(ctx context.Context, md *metadata.MD, propagators propagation.TextMapPropagator) (baggage.Baggage, trace.SpanContext) {
-	ctx = propagators.Extract(ctx, &metadataSupplier{
+	ctx = c.Propagators.Extract(ctx, &metadataSupplier{
 		metadata: md,
 	})
 
 	return baggage.FromContext(ctx), trace.SpanContextFromContext(ctx)
 }
+
+func extract(ctx context.Context, propagators propagation.TextMapPropagator) context.Context {
+	md, ok := metadata.FromIncomingContext(ctx)
+	if !ok {
+		md = metadata.MD{}
+	}
+
+	return propagators.Extract(ctx, &metadataSupplier{
+		metadata: &md,
+	})
+}
diff --git a/instrumentation/google.golang.org/grpc/otelgrpc/interceptor.go b/instrumentation/google.golang.org/grpc/otelgrpc/interceptor.go
index 60d0bcff8f7..f156f36e176 100644
--- a/instrumentation/google.golang.org/grpc/otelgrpc/interceptor.go
+++ b/instrumentation/google.golang.org/grpc/otelgrpc/interceptor.go
@@ -31,7 +31,6 @@ import (
 
 	"go.opentelemetry.io/contrib/instrumentation/google.golang.org/grpc/otelgrpc/internal"
 	"go.opentelemetry.io/otel/attribute"
-	"go.opentelemetry.io/otel/baggage"
 	"go.opentelemetry.io/otel/codes"
 	semconv "go.opentelemetry.io/otel/semconv/v1.12.0"
 	"go.opentelemetry.io/otel/trace"
@@ -87,9 +86,6 @@ func UnaryClientInterceptor(opts ...Option) grpc.UnaryClientInterceptor {
 			return invoker(ctx, method, req, reply, cc, callOpts...)
 		}
 
-		requestMetadata, _ := metadata.FromOutgoingContext(ctx)
-		metadataCopy := requestMetadata.Copy()
-
 		name, attr := spanInfo(method, cc.Target())
 		var span trace.Span
 		ctx, span = tracer.Start(
@@ -100,8 +96,7 @@ func UnaryClientInterceptor(opts ...Option) grpc.UnaryClientInterceptor {
 		)
 		defer span.End()
 
-		inject(ctx, &metadataCopy, cfg.Propagators)
-		ctx = metadata.NewOutgoingContext(ctx, metadataCopy)
+		ctx = inject(ctx, cfg.Propagators)
 
 		messageSent.Event(ctx, 1, req)
 
@@ -266,9 +261,6 @@ func StreamClientInterceptor(opts ...Option) grpc.StreamClientInterceptor {
 			return streamer(ctx, desc, cc, method, callOpts...)
 		}
 
-		requestMetadata, _ := metadata.FromOutgoingContext(ctx)
-		metadataCopy := requestMetadata.Copy()
-
 		name, attr := spanInfo(method, cc.Target())
 		var span trace.Span
 		ctx, span = tracer.Start(
@@ -278,8 +270,7 @@ func StreamClientInterceptor(opts ...Option) grpc.StreamClientInterceptor {
 			trace.WithAttributes(attr...),
 		)
 
-		inject(ctx, &metadataCopy, cfg.Propagators)
-		ctx = metadata.NewOutgoingContext(ctx, metadataCopy)
+		ctx = inject(ctx, cfg.Propagators)
 
 		s, err := streamer(ctx, desc, cc, method, callOpts...)
 		if err != nil {
@@ -332,15 +323,11 @@ func UnaryServerInterceptor(opts ...Option) grpc.UnaryServerInterceptor {
 			return handler(ctx, req)
 		}
 
-		requestMetadata, _ := metadata.FromIncomingContext(ctx)
-		metadataCopy := requestMetadata.Copy()
-
-		bags, spanCtx := Extract(ctx, &metadataCopy, opts...)
-		ctx = baggage.ContextWithBaggage(ctx, bags)
+		ctx = extract(ctx, cfg.Propagators)
 
 		name, attr := spanInfo(info.FullMethod, peerFromCtx(ctx))
 		ctx, span := tracer.Start(
-			trace.ContextWithRemoteSpanContext(ctx, spanCtx),
+			trace.ContextWithRemoteSpanContext(ctx, trace.SpanContextFromContext(ctx)),
 			name,
 			trace.WithSpanKind(trace.SpanKindServer),
 			trace.WithAttributes(attr...),
@@ -429,15 +416,11 @@ func StreamServerInterceptor(opts ...Option) grpc.StreamServerInterceptor {
 			return handler(srv, wrapServerStream(ctx, ss))
 		}
 
-		requestMetadata, _ := metadata.FromIncomingContext(ctx)
-		metadataCopy := requestMetadata.Copy()
-
-		bags, spanCtx := Extract(ctx, &metadataCopy, opts...)
-		ctx = baggage.ContextWithBaggage(ctx, bags)
+		ctx = extract(ctx, cfg.Propagators)
 
 		name, attr := spanInfo(info.FullMethod, peerFromCtx(ctx))
 		ctx, span := tracer.Start(
-			trace.ContextWithRemoteSpanContext(ctx, spanCtx),
+			trace.ContextWithRemoteSpanContext(ctx, trace.SpanContextFromContext(ctx)),
 			name,
 			trace.WithSpanKind(trace.SpanKindServer),
 			trace.WithAttributes(attr...),