It should. I have had times where I would put in an order a the ask and my share amount is much higher and I think I will take the ask out and not get the entire fill but I do anyhow. If you are bidding higher than the ask you should have no problem unless the ask is very thin and there aren't that many shares offered even at the next price. It is difficult to answer not seeing level II. Sometimes when you place a trade it goes true to the way level II is being represented and other times it doesn't.
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