"Kim still denies they are getting a divorce, but things are definitely not great between her and Kanye," an insider tells PEOPLE

Kanye West has quickly returned to his busy lifestyle after his scary hospitalization last month – and wife Kim Kardashian West is not pleased about it, according to a source.

“Kim still denies they are getting a divorce, but things are definitely not great between her and Kanye,” an insider tells PEOPLE exclusively, noting that the couple have spent very little time together since his release.

West was released from UCLA Medical Center late last month, after being admitted Nov. 21 for over a week for exhaustion and sleep deprivation. In the wake of both the hospitalization and Kardashian West’s October robbery in Paris, split rumors plagued the couple, but another source insisted that any reports of marital strife were “completely false.”

In the days since, West has been spotted out in West Hollywood at the “Rick Owens: Furniture” exhibition at the MOCA Pacific Design Center. On Friday, West hit the streets of Los Angeles with pals for an incognito BMX ride.

“Kanye is supposed to rest and focus on his mental health,” the source tells PEOPLE. “Instead, he has had a very busy week and is done resting.”

Adds the source, “Kim acts annoyed. She also seems miserable and is spending a lot of time with her family.”

Though they may spend time apart, an additional insider claims this is not out of the ordinary.

“Kim and Kanye have been spending time together behind closed doors and no less than usual,” says the source. “They both do their own thing a lot of the time but they’re constantly checking in with each other about things — and especially about the kids.”

The couple are currently living apart, a source previously revealed, explaining that the arrangement is for medical reasons.

The confidante added, “He is instead receiving outpatient care elsewhere with a medical team. Kim still seems concerned but is supportive. They don’t know for how long Kanye will need outpatient care.”