Rafael Benitez is understood to be keen on taking Kuyt, whom he signed for Liverpool from Feyenoord in 2006, to Inter this season, prompting Reds boss Roy Hodgson to accuse his predecessor of reneging on an agreement not to make an approach for any Liverpool players.
Sneijder, who played alongside Kuyt as Netherlands reached this summer's World Cup final, believes Inter should press ahead with the deal, though, and says he has spoken to club president Massimo Moratti to recommend his signing.
"I hope that before the end of the transfer session he can be here with us," Sneijder told NOS. "Dirk already knows what awaits him at Inter and I am certain within a week my team-mates will be desperate to play with him.
"I'd love him to come here. With him it's like you're playing with 12 men, as he knows how to do everything - protect the ball, run and score. He's very welcome at Inter and not just because he's Dutch. I talked to everyone about him, even with Moratti."
Kuyt's agent, Rob Jansen, earlier revealed the player may be keen on a move to Inter.
"The clubs continue to talk but Dirk has told Liverpool he no longer wants to be involved as this is something that regards his career and life," he said. "It doesn't mean he wants to leave at all costs but when a club like Inter comes along it's normal to look into it further."
Hodgson said on Wednesday, though, that the player had not said he wants to leave and that he is not for sale.