diff --git a/ompi/dpm/dpm.c b/ompi/dpm/dpm.c
index b77b21586a5..a289c16813a 100644
--- a/ompi/dpm/dpm.c
+++ b/ompi/dpm/dpm.c
@@ -355,7 +355,7 @@ int ompi_dpm_connect_accept(ompi_communicator_t *comm, int root,
     if (0 < opal_list_get_size(&ilist)) {
         uint32_t *peer_ranks = NULL;
         int prn, nprn = 0;
-        char *val, *mycpuset;
+        char *val;
         uint16_t u16;
         opal_process_name_t wildcard_rank;
         /* convert the list of new procs to a proc_t array */
@@ -380,16 +380,6 @@ int ompi_dpm_connect_accept(ompi_communicator_t *comm, int root,
             opal_argv_free(peers);
         }
 
-        /* get my locality string */
-        val = NULL;
-        OPAL_MODEX_RECV_VALUE_OPTIONAL(rc, PMIX_LOCALITY_STRING,
-                                       OMPI_PROC_MY_NAME, &val, PMIX_STRING);
-        if (OPAL_SUCCESS == rc && NULL != val) {
-            mycpuset = val;
-        } else {
-            mycpuset = NULL;
-        }
-
         i = 0;
         OPAL_LIST_FOREACH(cd, &ilist, ompi_dpm_proct_caddy_t) {
             proc = cd->p;
@@ -406,8 +396,8 @@ int ompi_dpm_connect_accept(ompi_communicator_t *comm, int root,
                         val = NULL;
                         OPAL_MODEX_RECV_VALUE_IMMEDIATE(rc, PMIX_LOCALITY_STRING,
                                                        &proc->super.proc_name, &val, OPAL_STRING);
-                        if (OPAL_SUCCESS == rc && NULL != val) {
-                            u16 = opal_hwloc_compute_relative_locality(mycpuset, val);
+                        if (OPAL_SUCCESS == rc && NULL != ompi_process_info.locality) {
+                            u16 = opal_hwloc_compute_relative_locality(ompi_process_info.locality, val);
                             free(val);
                         } else {
                             /* all we can say is that it shares our node */
@@ -425,9 +415,6 @@ int ompi_dpm_connect_accept(ompi_communicator_t *comm, int root,
             }
             ++i;
         }
-        if (NULL != mycpuset) {
-            free(mycpuset);
-        }
         if (NULL != peer_ranks) {
             free(peer_ranks);
         }
diff --git a/ompi/runtime/ompi_rte.c b/ompi/runtime/ompi_rte.c
index 1b9a5db4da7..480c2252460 100644
--- a/ompi/runtime/ompi_rte.c
+++ b/ompi/runtime/ompi_rte.c
@@ -764,7 +764,7 @@ int ompi_rte_init(int *pargc, char ***pargv)
 
     /* identify our location */
     val = NULL;
-    OPAL_MODEX_RECV_VALUE_OPTIONAL(rc, PMIX_LOCALITY_STRING,
+    OPAL_MODEX_RECV_VALUE_OPTIONAL(rc, PMIX_CPUSET,
                                    &opal_process_info.my_name, &val, PMIX_STRING);
     if (PMIX_SUCCESS == rc && NULL != val) {
         opal_process_info.cpuset = val;
@@ -774,6 +774,15 @@ int ompi_rte_init(int *pargc, char ***pargv)
         opal_process_info.cpuset = NULL;
         opal_process_info.proc_is_bound = false;
     }
+    val = NULL;
+    OPAL_MODEX_RECV_VALUE_OPTIONAL(rc, PMIX_LOCALITY_STRING,
+                                   &opal_process_info.my_name, &val, PMIX_STRING);
+    if (PMIX_SUCCESS == rc && NULL != val) {
+        opal_process_info.locality = val;
+        val = NULL;  // protect the string
+    } else {
+        opal_process_info.locality = NULL;
+    }
 
     /* retrieve the local peers - defaults to local node */
     val = NULL;
@@ -811,7 +820,7 @@ int ompi_rte_init(int *pargc, char ***pargv)
                 OPAL_MODEX_RECV_VALUE_OPTIONAL(rc, PMIX_LOCALITY_STRING,
                                                &pname, &val, PMIX_STRING);
                 if (PMIX_SUCCESS == rc && NULL != val) {
-                    u16 = opal_hwloc_compute_relative_locality(opal_process_info.cpuset, val);
+                    u16 = opal_hwloc_compute_relative_locality(opal_process_info.locality, val);
                     free(val);
                 } else {
                     /* all we can say is that it shares our node */
@@ -826,9 +835,6 @@ int ompi_rte_init(int *pargc, char ***pargv)
                 ret = opal_pmix_convert_status(rc);
                 error = "local store of locality";
                 opal_argv_free(peers);
-                if (NULL != opal_process_info.cpuset) {
-                    free(opal_process_info.cpuset);
-                }
                 goto error;
             }
         }
diff --git a/opal/mca/common/ofi/common_ofi.c b/opal/mca/common/ofi/common_ofi.c
index 1b866560c79..97140b30dbd 100644
--- a/opal/mca/common/ofi/common_ofi.c
+++ b/opal/mca/common/ofi/common_ofi.c
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2015      Intel, Inc.  All rights reserved.
+ * Copyright (c) 2015-2020 Intel, Inc.  All rights reserved.
  * Copyright (c) 2017      Los Alamos National Security, LLC.  All rights
  *                         reserved.
  * Copyright (c) 2020      Triad National Security, LLC. All rights
@@ -345,7 +345,7 @@ static uint32_t get_package_rank(opal_process_info_t *process_info)
         }
 
         // compute relative locality
-        relative_locality = opal_hwloc_compute_relative_locality(process_info->cpuset, locality_string);
+        relative_locality = opal_hwloc_compute_relative_locality(process_info->locality, locality_string);
         free(locality_string);
 
         if (relative_locality & OPAL_PROC_ON_SOCKET) {
diff --git a/opal/util/proc.c b/opal/util/proc.c
index 26973fdd619..06f35b8ef54 100644
--- a/opal/util/proc.c
+++ b/opal/util/proc.c
@@ -41,6 +41,7 @@ opal_process_info_t opal_process_info = {
     .my_local_rank = 0,    /* I'm the only process around here */
     .my_node_rank = 0,
     .cpuset = NULL,
+    .locality = NULL,
     .pid = 0,
     .num_procs = 0,
     .app_num = 0,
diff --git a/opal/util/proc.h b/opal/util/proc.h
index 785a6f7ec95..512f23b6bb8 100644
--- a/opal/util/proc.h
+++ b/opal/util/proc.h
@@ -115,6 +115,7 @@ typedef struct opal_process_info_t {
     uint16_t my_local_rank;             /**< local rank on this node within my job */
     uint16_t my_node_rank;
     char *cpuset;                       /**< String-representation of bitmap where we are bound */
+    char *locality;                     /**< String-representation of process locality */
     pid_t pid;
     uint32_t num_procs;
     uint32_t app_num;