Katharine McPhee -- Reunited with Husband ... After Publicly Cheating on Him

Katharine McPhee's back with her hubby ... and their dogs.

It's been nearly 5 months since Katharine publicly sucked face with her married "Smash" director Michael Morris -- and sources close to the actress tell us, Katharine has been working hard to patch things up with her husband Nick Cokas.

Katharine and Nick are currently living apart -- but we're told they've been hanging out together more and more often recently ... Katharine even bought Nick a brand new Rolex as a make-good for the public humiliation.

Must have worked too -- we're told Nick's leaning toward taking her back.

What did the rooster say the morning after his wife cheated? Cuckoldoodledoo.