The Reds have won both their games against Stoke City and Aston Villa 1-0 this season with Sturridge netting the winner on both occasions, and Enrique thinks that his teammate will be high up the scoring charts when the season ends.
"He's a top player and I think he can challenge for the top scorer this season," Enrique told the Liverpool Echo.
"If he has good luck with [avoiding] injuries then I think if he continues in this form, he will be right up there. For me he's got everything you want from a striker. He is quick, strong and can play with both feet.
"I'll be claiming the assist [against Villa] but it was all down to Danny and Philippe Coutinho [who] left the ball for him and he did the rest."
Sturridge has scored 13 goals in 18 appearances since moving from Chelsea for £12m in January.