Jillian must average at least 90 on two quiz scores before she can move to the next skill level. Jillian got a 92 on her first quiz. What scores could Jillian get on her second quiz in order to move to the next skill level?

Jillian must average at least 90 on her two quiz scores, so the sum of her scores must be at least 90 x 2 = <<90*2=180>>180.

If she got a 92 on her first quiz, she would need to get a score of at least 180 - 92 = <<180-92=88>>88 on her second quiz. Answer: \boxed{88}.