The Argentine is under pressure to keep his job after Saturday's loss to Brighton, leaving the club with a record of three wins from 11 games this season.
But Winks believes Pochettino has the complete support of his playing squad.
"He's our manager. He's been fantastic ever since he's been at the club and taken the club to new heights," Winks said.
"At the moment we are going through a bit of a rough patch. That happens in football, every club goes through it.
"It's important we stand up as men and get through these dark times, and hopefully we can get back to playing well and winning as much as we can.
"In the last six years we have come such a long way, we have become a title-challenging side. But we haven't shown it this season, we have only shown it in parts.
"In certain games we have played really well but for the majority of this season we haven't shown what we are about.
"It's important we look back on it and reflect so realise it's not been good enough, no excuses. The only way we can put it right is back in training and the next match."