England host Moldova in a FIFA World Cup™ qualifier on Friday before playing away to Ukraine on 1- September and United manager David Moyes said Rooney had "no chance" of taking part after cutting his forehead in training.
"Wayne is bad. The cut is in the middle of his forehead and will take a wee while to heal," Moyes told Sky Sports. "He turned around and it was a boot by Phil Jones that caught him down the forehead. Three weeks, I expect."
Sturridge scored the winning goal with a fourth-minute header - the third match in a row in which he has registered the game's only goal - but he later revealed that he had a thigh problem.
"It was great to have the manager (Hodgson) here," Sturridge said. "It's important for me to be out on the field.
"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 OK for the (England) squad."
Liverpool manager Brendan Rodgers revealed that Sturridge had been concerned about his fitness in the build-up to the game. "We just need to assess him. He played but wasn't sure he would make it through the game," Rodgers said.
"He's struggled the last couple of days but put himself out there. We need to make sure we think of Liverpool first. I would expect with his quality, Roy would look for him maybe to start, but our priority is to make sure he's OK."
Two defenders down
Hodgson's squad are due to assemble at their St George's Park training base in central England on Monday afternoon and he could find himself short in defence after both Jones and Johnson hobbled off at Anfield.
United defender Jones was replaced by Antonio Valencia late in the first half after twisting his ankle. "I don't know about England," Moyes said. "It was a bad twisted ankle, it swelled up right away. I couldn't give you an answer how long he will be (out for)."
Liverpool right-back Johnson went off in the 79th minute after hurting himself in a block tackle and was later pictured on Sky Sports News wearing a protective cast around his leg as he left the stadium.
"He got a bad knock and is getting treatment at the moment. It would be bad for him to come off," Rodgers said. Injuries to Jones and Johnson would leave Kyle Walker as Hodgson's only fit right-back, although Jones's United colleague Chris Smalling, who is also in the squad, has played there on occasion.
At the Emirates Stadium there was further cause for concern for Hodgson as midfielder Jack Wilshere hobbled off before half-time.