Deqwon Ebanks scored a first-half brace, before the visitors pulled a goal back just after the break. But George McGee sealed the win for the young Blues side with a cool finish just after the hour mark.
Academy coach Steve Spooner felt his side were good value for their victory.
“It was 3-1 but arguably could have been more,” said Spooner. “It was the first game back after the Christmas break and I was very pleased with the players’ all-round conditioning and their performance. A lot of credit for that goes to Glynn Lewis who is our new sports scientist. They looked very sharp and they went about it in a disciplined manner as well.
“After going 2-0 up through Deqwon Ebanks, Leicester got back into the game when we didn’t put enough pressure on the ball. We allowed them to put a hard, low cross into our box and it deflected off our centre-half into the net.
“But we restored the advantage with about 25 minutes to go. Ebanks slid George McGee in and he was one-on-one with the keeper and finished it very coolly.
“After that we held firm and looked strong and comfortable against a big, physical Leicester side. The boys were well prepared physically, mentally and tactically and executed the plan very well. The energy, shape and work-rate pleased me most. I never doubted we had good footballers but at times we’ve left ourselves too open in the past.”