The 20-year-old United striker scored 15 times in 37 appearance's whilst on loan at The Tigers last season and Brown has planned to talk to Fergie about the possibility of re-signing the player after United's pre-season programme has concluded.
"I spoke at length with Sir Alex Ferguson at the end of the season, having kept him up to speed with the progress Fraizer had made all season," The Tigers boss has said.
"He was adamant that all his players would come back for pre-season training, but said when they come back from their pre-season trip to South Africa there is an opportunity to talk again.
"I fully trust Sir Alex's word on that and when they come back I will be putting a call in. There is always a possibility.
"There are one or two strikers out there we have earmarked as priority but if Fraizer Campbell became available we would certainly be interested in taking him, either permanent or on loan."
"I spoke at length with Sir Alex Ferguson at the end of the season, having kept him up to speed with the progress Fraizer had made all season," The Tigers boss has said.
"He was adamant that all his players would come back for pre-season training, but said when they come back from their pre-season trip to South Africa there is an opportunity to talk again.
"I fully trust Sir Alex's word on that and when they come back I will be putting a call in. There is always a possibility.
"There are one or two strikers out there we have earmarked as priority but if Fraizer Campbell became available we would certainly be interested in taking him, either permanent or on loan."