Sturridge, who struggled to hold down a regular first-team place after joining Chelsea from Manchester City in 2009, scored after seven minutes on his debut in the FA Cup victory over minor league Mansfield Town on Sunday.
Henderson predicted a bright future at Liverpool for his fellow England international.
"He's definitely made the right choice in coming here and I think he'll be a top player for Liverpool," Henderson told the club's website on Friday.
"I thought he was really good [against Mansfield]. He hadn't played for a while but he was really sharp, he got his goal. He is a big talent.
"I think it's a great signing and he'll do really well."
"It wasn't anything much," said Henderson. "Just telling him what it's like, but Liverpool speaks for itself as a club and city. It's got great people here, the city's great and the club is massive."
