The pair have been rewarded for the Reds' 100 per cent start to the season, when they recorded back-to-back 1-0 victories over Stoke City and Aston Villa respectively.
Sturridge netted the winner in both of those games and has since extended his tally to five goals in four matches.
An ongoing groin problem prevented the 24-year-old from joining up with England but he is expected to be part of Rodgers' squad for Monday's trip to Swansea.
Rodgers has guided his side to the top of the Premier League and former Liverpool boss Gerard Houllier believes the Northern Irishman is the right manager to bring success back to Anfield.
"I like his philosophy because it goes well with the Liverpool culture," said Houllier. "I like his passing game and also their results this season. They're top of the league and I hope they can stay there for as long as possible.
"I was impressed by their solid resilience and team spirit. When you win 1-0 you can't say the result is easy; you've got to fight and they've showed they're capable of doing that."