You are under the incorrect impression that providing liquidity means selling shares. Providing liquidity happens on either side of a trade. Market makers are full time liquidity providers offering to both buy and sell (usually at the same time). They make their money by bridging the temporal gaps in the supply/demand of an instrument.

So if you are using a liquidity providers it is evidence that you do not want to wait. If you did want to wait, you yourself can just put the order out and provide the liquidity to others.