Cruise, who divorced Suri's mother Katie Holmes earlier this year, is currently filming in Europe while his daughter attends school in New York City.
"Tom talks to Suri several times a day," a source told People. "He misses Suri very much."
The insider explained that the father and daughter are "very, very close", adding: "He's up on everything that's going on in her life."
Cruise, who will reportedly pay $400,000 (£253,000) in child support for Suri every year, recently spent time with his daughter on a high-profile trip to Disney World.
Meanwhile, recent reports claimed that Holmes is expecting her former husband to "spoil" Suri.
Photo gallery - Tom Cruise and Katie Holmes's relationship in pictures:
Copyright: Rex Features