Bullard has played just 37 minutes for Hull since joining the club in January.
The 30-year-old has been out with a serious knee injury, but is now back in full traning.
“The plan of attack with Jimmy will mean his comeback game will probably be against Bolton in the reserves next Tuesday at North Ferriby,” Brown told the Hull Daily Mail.
“Hopefully, one or two supporters will get the chance to see him in a Hull City strip and fingers crossed, we’ll see where that takes us.
“We’ll have the game against Bolton and then a game against opposition behind closed doors the following week before he can then play some part in the Fulham game.
“We’ll have to be patient with him and understand that it might take three, four or five games before we see his best.
“But I’m hopeful of the fact Jimmy can come in and play a big part in a big season for us.”