Quilt sizes that aren't specific, such as 'king' or 'queen' aren't much help. You can have a queen quilt with a long drop that is bigger than a king with a short drop. You need to get the exact measurements of the top & the frame and compare those. Having said that, there are ways to manipulate a quilt on a frame that is too small. A common way is to not quilt the borders in the first go and do them after. It's much easier if the borders are not attached. The center is quilted, then the borders quilted separately and added to the main portion using a QAYG technique. Or the center is quilted, the borders (top and backing) are added, a piece of batting is placed in the sandwich and then quilted.