Enrique was unable to rotate his strike-force last season after selling Pedro to Chelsea, which saw Lionel Messi (49), Luis Suarez (53) and Neymar (49) feature in the majority of the club's games.
The Primera Division champions have already bolstered their squad during the off-season with the signings of Samuel Umtiti, Lucas Digne and Denis Suarez.
But Enrique is looking further up the pitch for improvements and wants to bring in an out-and-out goalscorer to compliment his wide attacking players.
"We're looking for a striker but the best thing would be to sign another player, if there is a good option," the Spaniard said at a news conference.
"We're looking for a pure striker, who moves close to the area without dropping wide, because we have a lot of players for the wings, like Denis, Arda [Turan], Andres [Iniesta]. [We want] a true striker, who has goals."