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We're not sure what the tiny pooch's name is, but we're totally smitten with his furry little face!

Gwen Stefani ran errands in the valley on Wednesday afternoon, and we couldn't help but notice that she wasn't exactly in the best mood. Reports surfaced earlier this week that Gwen and hubby Gavin Rossdale's marriage is on the rocks, and a friend of Gwen’s told Life & Style that the two have been going to therapy for quite some time.

The mag added that Gwen has had a hard time trusting Gavin since learning about his alleged gay affair in the 1980s, not to mention his secret daughter, Daisy Lowe. “Gwen thinks she always has to keep an eye out to keep him in line," an insider says. "They often fight if he spends too many late nights out with his friends.”

However, don't expect these two to be the next Hollywood couple to head to Splitsville. “She always says that of everything in her life, she’s most proud of her family. She loves Gavin and their boys ... she would never give up on her marriage," the source added. "No matter what happens with them, they made a promise to be together. Gwen and Gavin will never break up."