Club president James Pallotta claims that the Serie A club will not be binning off their prized asset in favour of profit.
Alisson, 25, has been consistently linked with Liverpool over recent months - the team he will come up against in the Champions League semi-finals.
His performances in Europe have been particularly impressive throughout this season.
Roma have not conceded a goal in their last five Champions League games against Atletico Madrid, Chelsea, Qarabag, Shakhtar Donetsk and Barcelona.
And Alisson's performances have ensured that he is keeping Manchester City stopper Ederson out of the Brazil team.