Index: libomptarget/deviceRTLs/nvptx/src/libcall.cu
===================================================================
--- libomptarget/deviceRTLs/nvptx/src/libcall.cu
+++ libomptarget/deviceRTLs/nvptx/src/libcall.cu
@@ -164,7 +164,8 @@
   if (isRuntimeUninitialized()) {
     ASSERT0(LT_FUSSY, isSPMDMode(),
             "Expected SPMD mode only with uninitialized runtime.");
-    return parallelLevel;
+    // parallelLevel starts from 0, need to add 1 for correct level.
+    return parallelLevel + 1;
   }
   int level = 0;
   omptarget_nvptx_TaskDescr *currTaskDescr =
Index: libomptarget/deviceRTLs/nvptx/src/loop.cu
===================================================================
--- libomptarget/deviceRTLs/nvptx/src/loop.cu
+++ libomptarget/deviceRTLs/nvptx/src/loop.cu
@@ -205,8 +205,12 @@
   INLINE static void dispatch_init(kmp_Ident *loc, int32_t threadId,
                                    kmp_sched_t schedule, T lb, T ub, ST st,
                                    ST chunk) {
-    ASSERT0(LT_FUSSY, checkRuntimeInitialized(loc),
-            "Expected non-SPMD mode + initialized runtime.");
+    if (checkRuntimeUninitialized(loc)) {
+      // In SPMD mode no need to check parallelism level - dynamic scheduling
+      // may appear only in L2 parallel regions with lightweight runtime.
+      ASSERT0(LT_FUSSY, checkSPMDMode(loc), "Expected non-SPMD mode.");
+      return;
+    }
     int tid = GetLogicalThreadIdInBlock(checkSPMDMode(loc));
     omptarget_nvptx_TaskDescr *currTaskDescr = getMyTopTaskDescriptor(tid);
     T tnum = currTaskDescr->ThreadsInTeam();
@@ -439,8 +443,15 @@
 
   INLINE static int dispatch_next(kmp_Ident *loc, int32_t gtid, int32_t *plast,
                                   T *plower, T *pupper, ST *pstride) {
-    ASSERT0(LT_FUSSY, checkRuntimeInitialized(loc),
-            "Expected non-SPMD mode + initialized runtime.");
+    if (checkRuntimeUninitialized(loc)) {
+      // In SPMD mode no need to check parallelism level - dynamic scheduling
+      // may appear only in L2 parallel regions with lightweight runtime.
+      ASSERT0(LT_FUSSY, checkSPMDMode(loc), "Expected non-SPMD mode.");
+      if (*plast)
+        return DISPATCH_FINISHED;
+      *plast = 1;
+      return DISPATCH_NOTFINISHED;
+    }
     // ID of a thread in its own warp
 
     // automatically selects thread or warp ID based on selected implementation
Index: libomptarget/deviceRTLs/nvptx/src/parallel.cu
===================================================================
--- libomptarget/deviceRTLs/nvptx/src/parallel.cu
+++ libomptarget/deviceRTLs/nvptx/src/parallel.cu
@@ -407,7 +407,7 @@
   if (checkRuntimeUninitialized(loc)) {
     ASSERT0(LT_FUSSY, checkSPMDMode(loc),
             "Expected SPMD mode with uninitialized runtime.");
-    return parallelLevel;
+    return parallelLevel + 1;
   }
 
   int threadId = GetLogicalThreadIdInBlock(checkSPMDMode(loc));