Suri and Tom Cruise in January 2012
Sharpshooter Images/Splash News Online
09/21/2012 at 03:05 PM EDT
misses his little girl.
The actor, whose divorce from Katie Holmes
became official last month, hasn't seen their 6-year-old daughter Suri in over a month – but the father and daughter are in constant contact, a source tells PEOPLE.
"Tom talks to Suri several times a day. He misses Suri very much," the source says.
Cruise, 50, has been filming All You Need Is Kill
in Europe, where the source says, he has a grueling daily schedule of pre-production work.
Suri, meanwhile, has a busy schedule of her own now that she's in school. The tot started first grade
on Sept. 11 in New York City, where she lives with Holmes.
"[Tom and Suri] are very, very close," the source adds. "He's up on everything that's going on in her life."
Cruise and Suri last spent time together during a fun-filled
trip to Disney World in early August, which included staying in the Cinderella Castle Suite and frolicking in the waves
and Disney's Typhoon Lagoon.