diff --git a/instances/models.py b/instances/models.py
index 8d677d6d..981306e3 100644
--- a/instances/models.py
+++ b/instances/models.py
@@ -117,7 +117,8 @@ class Instance(models.Model):
 
     @cached_property
     def vcpu_range(self):
-        return self.proxy.get_max_cpus()
+        """The vCPU counts the Resize tab offers, the VM's own maximum among them."""
+        return self.proxy.get_max_cpus(at_least=self.config_vcpu)
 
     @cached_property
     def cur_vcpu(self):
diff --git a/instances/tests/test_resize_input.py b/instances/tests/test_resize_input.py
index 5f29118b..f87fae33 100644
--- a/instances/tests/test_resize_input.py
+++ b/instances/tests/test_resize_input.py
@@ -8,7 +8,7 @@ from appsettings.settings import get_settings
 from computes.models import Compute
 from django.contrib.auth import get_user_model
 from django.contrib.messages import get_messages
-from django.test import TestCase
+from django.test import SimpleTestCase, TestCase
 from django.urls import reverse
 from instances.models import Instance
 from libvirt import VIR_DOMAIN_RUNNING
@@ -94,3 +94,16 @@ class ResizeInputTests(TestCase):
             from django.template.loader import render_to_string
             html = render_to_string("instances/resize_tab.html", {"instance": self.vm, "can_change": True})
         self.assertRegex(html, r'<input [^>]*name="memory"[^>]*disabled>')
+
+
+class VcpuRangeTests(SimpleTestCase):
+    """The Resize tab offers the VM's own maximum even above the host's CPUs,
+    so a resize does not lower it to the first choice."""
+
+    def test_the_counts_reach_the_vm_s_maximum(self):
+        from vrtManager.instance import wvmInstance
+
+        vm = wvmInstance.__new__(wvmInstance)
+        vm.__dict__["host_info"] = ["x86_64", 4096, 2, 0, 1, 1, 2, 1]  # 2 logical CPUs
+        self.assertEqual(list(vm.get_max_cpus()), [1, 2])
+        self.assertEqual(list(vm.get_max_cpus(at_least=4)), [1, 2, 3, 4])
diff --git a/instances/views.py b/instances/views.py
index f3d2c2a0..88717fb3 100755
--- a/instances/views.py
+++ b/instances/views.py
@@ -330,7 +330,7 @@ def _instance_page(request, pk, instance, compute):
     # userinstances = UserInstance.objects.filter(instance=instance).order_by('user__username')
     userinstances = instance.userinstance_set.order_by("user__username")
     # Host resources
-    vcpu_host = len(instance.vcpu_range)
+    vcpu_host = len(instance.proxy.get_max_cpus())  # the host's logical CPUs, not the VM's maximum
     memory_host = instance.proxy.get_max_memory()
     bus_host = instance.proxy.get_disk_bus_types(instance.arch, instance.machine)
     cdrom_buses = cdrom_bus_choices(instance)
diff --git a/vrtManager/instance.py b/vrtManager/instance.py
index 8d4fb39b..543c711d 100644
--- a/vrtManager/instance.py
+++ b/vrtManager/instance.py
@@ -779,11 +779,12 @@ class wvmInstance(wvmConnect):
     def get_max_memory(self):
         return self.host_info[1] * 1048576
 
-    def get_max_cpus(self):
-        """Get number of physical CPUs."""
+    def get_max_cpus(self, at_least=0):
+        """The vCPU counts to offer: up to the host's logical CPUs, or up to
+        at_least when that is more (a VM's own maximum, kept by a resize)."""
         hostinfo = self.host_info
         pcpus = hostinfo[4] * hostinfo[5] * hostinfo[6] * hostinfo[7]
-        return range(1, int(pcpus + 1))
+        return range(1, max(int(pcpus), at_least) + 1)
 
     def get_interface_addresses(self, iface_mac):
         """The running VM's addresses of the NIC with iface_mac: (IPv4, IPv6