Mel Gibson's baby mama Oksana Grigorieva is spending as much time as she can with daughter Lucia.

The brunette singer held on tight to her adorable little girl ... who rocked a red jacket and polka dot pants. What a cutie!

While she and Lucia have been hanging out, Oksana's ex boyfriend, Gibson, seems to be enjoying the dating life. The Braveheart actor was recently seen at Moonshadows Blue Lounge in Malibu with a hot blonde.

See more photos of Oksana and Lucia in our gallery below.

Baby Lucia has a cold!

A tried and worried looking Oksana Grigorieva stepped out to pick up some cold medicine and pink baby roses for her sick little girl, in LA on Sunday.

Mel Gibson's baby mamma has been laying low lately, as she and her ex have finally worked out an agreement with their daughter.

The troubled actor's adopted gay brother, Andrew, spoke out about Gibson and his relationship with Oksana to Australia's Sunday Times yesterday, telling the paper he did not believe the alleged tape conversations were Mel.

Andrew expressed: "When I heard them I just thought: 'That isn't Mel.' He has never said anything abusive aggressive or racist in his life."

Check out our exclusive video of Grigorieva shopping below, and find out what Mel's brother had to say about his infamous tirades, after the jump ...

Oksana Grigorieva was spotted out shopping Wednesday in Sherman Oaks, Calif., not long after reports surfaced that she is dropping her allegations that ex Mel Gibson hit her during a fight last year.

Grigorieva picked up some children's toys at Target. She has two kids; one with ex Timothy Dalton and baby girl Lucia, who's about a year-and-a-half old, with Gibson.

She seemed calm; Grigorieva loaded her bags into her car herself, and even cracked a slight smile.

She bought a baby doll, maybe for baby Lucia.

Neither Gibson nor his attorneys have commented on the supposed dropped charges. She how else Mel is still affected by his custody and court battles with Grigorieva after the jump.

Mel Gibson has spoken out for the first time since last summer, when recordings of him yelling racial slurs at his ex-girlfriend Oksana Grigorieva were released and he was accused of physically abusing her.

Deadline ran the exclusive interview, but we've broken it down for you into the most telltale bits below.

When asked about the leaked tapes and whether he is racist, Gibson said:

"I’ve never treated anyone badly or in a discriminatory way based on their gender, race, religion or sexuality -- period. I don’t blame some people for thinking that though, from the garbage they heard on those leaked tapes, which have been edited. You have to put it all in the proper context of being in an irrationally, heated discussion at the height of a breakdown, trying to get out of a really unhealthy relationship. It’s one terribly, awful moment in time, said to one person, in the span of one day and doesn’t represent what I truly believe or how I’ve treated people my entire life."

Gibson spoke about the charges that he hit Grigorieva.

"I was allowed to end the case and still maintain my innocence. It’s called a West plea and it’s not something that prosecutors normally allow. But in my case, the prosecutors and the judge agreed that it was the right thing to do. I could have continued to fight this for years and it probably would have come out fine. But I ended it for my children and my family. This was going to be such a circus. You don’t drag other people in your life through this sewer needlessly, so I’ll take the hit and move on."

Read what Gibson had to say on the future of his career, depression and his current relationship with his family after the jump.

Mel Gibson plead no contest on Friday to ex-girlfriend Oksana Grigorieva's misdemeanor battery charge and was put on probation... all to successfully avoid jail time.

So when we caught up with Grigorieva at the Arclight in Sherman Oaks Saturday night - along with a male companion - we asked if she thought Mel should've gone to jail.

Grigorieva reportedly still plans to file a civil lawsuit against ex Gibson.

Oksana Grigorieva was in good spirits this morning as she sent her young daughter Lucia off to daycare. Her ex Mel Gibson is expected at the Airport Courthouse in Los Angeles at 1:30 pm to face misdemeanor battery charges.

Just this morning, the L.A. County District Attorney officially filed a single misdemeanor battery charge against the actor.

The charge stems from Grigorieva's accusations that Gibson allegedly threatened her with a gun and punched her at his Malibu home.

Oksana will not be charged with extortion which stemmed from a multi-million dollar deal she signed with Mel back in May 2010 during their child custody case. She eventually rejected the deal.

Grigorieva is not expected to attend today's court hearing.

Oksana stepped out with Lucia yesterday. See the adorable tot ... after the jump.

Oksana Grigorieva ran errands with her beautiful daughter Lucia today, and Mel Gibson's baby mama didn't seem bothered by the attention from photographers. Despite all the nasty tabloid dirt we're heard about both Mel and Oksana, we have to say, they certainly did ONE thing right -- their 17-month-old baby girl is absolutely adorable!

Mel has been noticeably MIA, but with his new film The Beaver coming out in May, we'd imagine the actor is going to make some promotional appearances, right?

Oksana Grigorieva's court drama with Mel Gibson over the custody of daughter Lucia has taken another turn ... due to a leaked email she had sent to her lawyer where she admitted to rejecting a $15 million settlement from Gibson to "see where the chips may fall" in court.

Various online reports say Grigorieva, 40, had originally agreed to $15 million, but later pulled out of the agreement. In addition, Lucia's mom admitted that she'd only agree to the settlement if Gibson, 55, was denied all custodial rights to the 16-month-old little girl.

Gibson is just days away from finding out whether the Los Angeles District Attorney will charge him with domestic violence. As for Oksana, she's waiting to hear whether she'll be charged with extortion.

Grigorieva's attorney, Eric George, is now going after the Russian singer for unpaid legal fees. Gibson's legal team have stuck to their story claiming Oksana released the infamous screaming tapes as "leverage" to get more money from the actor.

Mel has been absent from the big screen for quite awhile, but will soon star in The Beaver. Find out when the movie gnaws its way into theaters ... after the jump.