Create one query out of two

UPDATE contacts SET user_id = u.id

   FROM my_users u 

   JOIN phone_numbers pn ON u.phone_significant = pn.significant 

   WHERE contacts.owner_id = 7 AND contacts.user_id IS NULL AND contacts.id = pn.ref_contact_id;

UPDATE contacts SET user_id = u.id

   FROM my_users u 

   JOIN email_addresses em ON u.email = em.email 

   WHERE contacts.owner_id = 7 AND contacts.user_id IS NULL AND contacts.id = em.ref_contact_id;

For some reason I cannot figure out how to combine these into one update query. They are running slower than I'd like them to even though I have indices on user_id, owner_id, email, and significant. So I'd like to try them in a single query to see if that helps.

As always, thanks for your sage advice.