diff --git a/wagtail/core/templatetags/wagtailcore_tags.py b/wagtail/core/templatetags/wagtailcore_tags.py
index 7f13ba27a7..6f2c7ad672 100644
--- a/wagtail/core/templatetags/wagtailcore_tags.py
+++ b/wagtail/core/templatetags/wagtailcore_tags.py
@@ -34,8 +34,25 @@ def pageurl(context, page):
 
 @register.simple_tag(takes_context=True)
 def slugurl(context, slug):
-    """Returns the URL for the page that has the given slug."""
-    page = Page.objects.filter(slug=slug).first()
+    """
+    Returns the URL for the page that has the given slug.
+
+    First tries to find a page on the current site. If that fails or a request
+    is not available in the context, then returns the URL for the first page
+    that matches the slug on any site.
+    """
+
+    try:
+        current_site = context['request'].site
+    except (KeyError, AttributeError):
+        # No site object found - allow the fallback below to take place.
+        page = None
+    else:
+        page = Page.objects.in_site(current_site).filter(slug=slug).first()
+
+    # If no page is found, fall back to searching the whole tree.
+    if page is None:
+        page = Page.objects.filter(slug=slug).first()
 
     if page:
         # call pageurl() instead of page.relative_url() here so we get the ``accepts_kwarg`` logic
diff --git a/wagtail/core/tests/tests.py b/wagtail/core/tests/tests.py
index ce8b001c37..e70eacb97c 100644
--- a/wagtail/core/tests/tests.py
+++ b/wagtail/core/tests/tests.py
@@ -5,7 +5,7 @@ from django.test import TestCase
 from django.utils.safestring import SafeText
 
 from wagtail.core.models import Page, Site
-from wagtail.core.templatetags.wagtailcore_tags import richtext
+from wagtail.core.templatetags.wagtailcore_tags import richtext, slugurl
 from wagtail.core.utils import resolve_model_string
 from wagtail.tests.testapp.models import SimplePage
 
@@ -43,27 +43,47 @@ class TestPageUrlTags(TestCase):
         with self.assertRaisesRegex(ValueError, "pageurl tag expected a Page object, got None"):
             tpl.render(template.Context({'page': None}))
 
-    def test_slugurl_without_request_in_context(self):
-        tpl = template.Template('''{% load wagtailcore_tags %}<a href="{% slugurl 'events' %}">Events</a>''')
-
-        # no 'request' object in context
-        result = tpl.render(template.Context({}))
-        self.assertIn('<a href="/events/">Events</a>', result)
-
-        # 'request' object in context, but no 'site' attribute
-        result = tpl.render(template.Context({'request': HttpRequest()}))
-        self.assertIn('<a href="/events/">Events</a>', result)
-
     def test_bad_slugurl(self):
-        tpl = template.Template('''{% load wagtailcore_tags %}<a href="{% slugurl 'bad-slug-doesnt-exist' %}">Events</a>''')
-
         # no 'request' object in context
-        result = tpl.render(template.Context({}))
-        self.assertIn('<a href="None">Events</a>', result)
+        result = slugurl(template.Context({}), 'bad-slug-doesnt-exist')
+        self.assertEqual(result, None)
 
         # 'request' object in context, but no 'site' attribute
-        result = tpl.render(template.Context({'request': HttpRequest()}))
-        self.assertIn('<a href="None">Events</a>', result)
+        result = slugurl(context=template.Context({'request': HttpRequest()}), slug='bad-slug-doesnt-exist')
+        self.assertEqual(result, None)
+
+    def test_slugurl_tag_returns_url_for_current_site(self):
+        home_page = Page.objects.get(url_path='/home/')
+        new_home_page = home_page.copy(update_attrs={'title': "New home page", 'slug': 'new-home'})
+        second_site = Site.objects.create(hostname='site2.example.com', root_page=new_home_page)
+        # Add a page to the new site that has a slug that is the same as one on
+        # the first site, but is in a different position in the treeself.
+        new_christmas_page = Page(title='Christmas', slug='christmas')
+        new_home_page.add_child(instance=new_christmas_page)
+        request = HttpRequest()
+        request.site = second_site
+        url = slugurl(context=template.Context({'request': request}), slug='christmas')
+        self.assertEqual(url, '/christmas/')
+
+    def test_slugurl_tag_returns_url_for_other_site(self):
+        home_page = Page.objects.get(url_path='/home/')
+        new_home_page = home_page.copy(update_attrs={'title': "New home page", 'slug': 'new-home'})
+        second_site = Site.objects.create(hostname='site2.example.com', root_page=new_home_page)
+        request = HttpRequest()
+        request.site = second_site
+        # There is no page with this slug on the current site, so this
+        # should return an absolute URL for the page on the first site.
+        url = slugurl(slug='christmas', context=template.Context({'request': request}))
+        self.assertEqual(url, 'http://localhost/events/christmas/')
+
+    def test_slugurl_without_request_in_context(self):
+        # no 'request' object in context
+        result = slugurl(template.Context({}), 'events')
+        self.assertEqual(result, '/events/')
+
+        # 'request' object in context, but no 'site' attribute
+        result = slugurl(template.Context({'request': HttpRequest()}), 'events')
+        self.assertEqual(result, '/events/')
 
 
 class TestSiteRootPathsCache(TestCase):