The Chelsea loanee scored in the 2-0 FA Cup fourth-round win over Bournemouth on Saturday as he featured for the first time since the third-round success against Oldham.
The 23-year-old has made 16 appearances this season, although many of those have come as a substitute as the former Wigan man has struggled to make a major impact at Anfield, sitting behind Raheem Sterling in the pecking order for a role on the flanks.
But Rodgers is now beginning to see an improvement in his summer signing and is hoping that the desire to star at the top level will inspire him to better things.
"For Victor it is very simple," Rodgers told various national newspapers.
"He wants to remain in a position that he will remain at a big club, whether it is Chelsea or Liverpool. There is no bigger motivation than that.
"In order to do that he needs to be performing day in, day out in training.
"If he does really well for us there is a possibility we will want to have him permanently but ultimately it is Chelsea's decision because he is their player. And if he has done really well, then they will want to keep him.
"When you sample the life of the big institutions like Liverpool, then there's not many that want to leave.
"I have seen improvements in his training.
"If the top players are training nine or 10 out of 10 every day and you have players who are five or maybe six out of 10 every day, then they are not ready to train with them, never mind play games with them.
"So you have to get them up to the level."
For his own part, Moses is now hoping to use his first-half strike against the Cherries as a springboard to more goals for Rodgers' men.
"It was really important," he said.
"I know I haven't been myself for the past few weeks but I started and got a goal today.
"I just want to kick on from here and try to get a few more goals in the second half of the season. It's crucial for me and the club as well."
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- Raheem Sterling