Campbell is a free agent after his short-term deal at Arsenal expired and he is weighing up his options.
"I'm here to get a feel for the place more than anything else," Campbell told the Daily Record.
"I have to talk to Arsenal as well because they are still at the table, I have to talk to everybody but the main thing for me right now is my wedding and honeymoon.
"I don't think I'll be committing myself to any club until after that."
Campbell, who is believed to have been offered a two-year deal at Celtic, has admitted the Scottish club must prove their ambitions to him if he is to make the switch to Scotland.
"I've met with Neil Lennon," added Campbell. "The club know they will win the league or finish second. It depends on where they want to go in Europe."