The striker got his fifth goal in four games so far this season to see off the Premier League champions 1-0 at Anfield, helping Daniel Agger's header beyond David De Gea.
He did so in front of watching England manager Roy Hodgson and his form would surely put him in line to feature in the forthcoming World Cup qualifiers against Moldova and Ukraine.
Those chances increased when United boss David Moyes ruled Wayne Rooney out of the fixtures with a facial injury, but Sturridge gave Hodgson even more to worry about.
"It was great to have the manager here, it's important for me to be out on the field," Sturridge told Sky Sports 1 after sending Moyes to his first league defeat since replacing Sir Alex Ferguson.
"I had a problem with my thigh before the game, it's still hindering me now, but I went out and put on a good performance for the boys.
"Hopefully I'll be okay for the (England) squad."
Liverpool have now won all three of their Premier League games 1-0, and Sturridge added: "We have been working hard as a team since the start of the season. It's not about individuals.
"We came out to work for the fans and the club."
Liverpool's defensive work has been noticeable and they barely gave United a chance inside the box.
"Everybody is playing well, working hard and showing the right attitude," said Martin Skrtel.