a bit more; a little longer
Casual spoken variant of もう少し. Used to request or express a small additional amount, time, or degree.
See also: もう少し
もうちょっと待ってください。
Please wait a little longer.
もうちょっと大
Do you have a slightly larger size?
もうちょい is a very casual contraction of もうちょっと; both mean 'a little more', but もうちょい sounds more colloquial and is common among younger speakers.
Contraction of もう (more) and 一寸 (ちょっと, a little).