The Nigerian international signed for the English champions earlier this month, joining the Foxes in a move from Russian club CSKA Moscow for a reported club-record £16.6million fee.
The striker says he was teased at a young age for being too small to play upfront, yet has drawn comparisons with his new attacking teammate who he cannot wait to play alongside.
“A lot of people used to tell me, 'Musa, you are too small to be a striker',” he said.
"But I said: 'It doesn't matter what size you are, it's what you can do that matters. I think I am like Jamie Vardy. I have speed, I like to work hard, we are similar in lots of things.
"Am I faster? I can't say yet, I have never played with him, but I am looking forward to finding out. I'm looking forward to playing with Vardy. I like his style. I think we can fit well together."
The 23-year-old admits the intensity of his first training sessions in England has taken him by surprise compared to Russia.
"When I started my first session I was thinking, ‘Wow'," he said.
"I have never seen that in Russia but now I am getting used to it. The intensity here is quite different to Russia. Here it is a little bit harder, in Russia they are more laid back.
"I think that is the most difficult thing, but I think that is the secret behind Leicester's success."
Leicester open their 2016/17 Premier League campaign against Hull City on Saturday, 13 August.