diff --git a/fs/nfsd/netns.h b/fs/nfsd/netns.h
index 9bfca3dda63d..77d4f82096c9 100644
--- a/fs/nfsd/netns.h
+++ b/fs/nfsd/netns.h
@@ -153,6 +153,7 @@ struct nfsd_net {
 	u32		s2s_cp_cl_id;
 	struct idr	s2s_cp_stateids;
 	spinlock_t	s2s_cp_lock;
+	atomic_t	pending_async_copies;
 
 	/*
 	 * Version information
diff --git a/fs/nfsd/nfs4proc.c b/fs/nfsd/nfs4proc.c
index 3e35f8688426..e74462fb480f 100644
--- a/fs/nfsd/nfs4proc.c
+++ b/fs/nfsd/nfs4proc.c
@@ -1273,6 +1273,7 @@ static void nfs4_put_copy(struct nfsd4_copy *copy)
 {
 	if (!refcount_dec_and_test(&copy->refcount))
 		return;
+	atomic_dec(&copy->cp_nn->pending_async_copies);
 	kfree(copy->cp_src);
 	kfree(copy);
 }
@@ -1811,10 +1812,16 @@ nfsd4_copy(struct svc_rqst *rqstp, struct nfsd4_compound_state *cstate,
 	memcpy(&copy->fh, &cstate->current_fh.fh_handle,
 		sizeof(struct knfsd_fh));
 	if (nfsd4_copy_is_async(copy)) {
-		status = nfserrno(-ENOMEM);
 		async_copy = kzalloc(sizeof(struct nfsd4_copy), GFP_KERNEL);
 		if (!async_copy)
 			goto out_err;
+		async_copy->cp_nn = nn;
+		/* Arbitrary cap on number of pending async copy operations */
+		if (atomic_inc_return(&nn->pending_async_copies) >
+				(int)rqstp->rq_pool->sp_nrthreads) {
+			atomic_dec(&nn->pending_async_copies);
+			goto out_err;
+		}
 		INIT_LIST_HEAD(&async_copy->copies);
 		refcount_set(&async_copy->refcount, 1);
 		async_copy->cp_src = kmalloc(sizeof(*async_copy->cp_src), GFP_KERNEL);
@@ -1853,7 +1860,7 @@ out_err:
 	}
 	if (async_copy)
 		cleanup_async_copy(async_copy);
-	status = nfserrno(-ENOMEM);
+	status = nfserr_jukebox;
 	goto out;
 }
 
diff --git a/fs/nfsd/nfs4state.c b/fs/nfsd/nfs4state.c
index 975dd74a7a4d..901fc68636cd 100644
--- a/fs/nfsd/nfs4state.c
+++ b/fs/nfsd/nfs4state.c
@@ -8142,6 +8142,7 @@ static int nfs4_state_create_net(struct net *net)
 	spin_lock_init(&nn->client_lock);
 	spin_lock_init(&nn->s2s_cp_lock);
 	idr_init(&nn->s2s_cp_stateids);
+	atomic_set(&nn->pending_async_copies, 0);
 
 	spin_lock_init(&nn->blocked_locks_lock);
 	INIT_LIST_HEAD(&nn->blocked_locks_lru);
diff --git a/fs/nfsd/xdr4.h b/fs/nfsd/xdr4.h
index 9d918a79dc16..144e05efd14c 100644
--- a/fs/nfsd/xdr4.h
+++ b/fs/nfsd/xdr4.h
@@ -574,6 +574,7 @@ struct nfsd4_copy {
 	struct nfsd4_ssc_umount_item *ss_nsui;
 	struct nfs_fh		c_fh;
 	nfs4_stateid		stateid;
+	struct nfsd_net		*cp_nn;
 };
 
 static inline void nfsd4_copy_set_sync(struct nfsd4_copy *copy, bool sync)