Payment Via EFTPS while filing electronically

Hello, I use TurboTax and electronic filing to send in my tax return. This year, for the first time in a number of years, I owe money (a lot) due to a large stock sale. I have also enrolled in EFTPS so that the money I owe is taken from my checking account. Can I submit my electronic tax return on March 1, for example, and enter into EFTPS that I want the amount owed deducted from my checking account on April 10 or so? Does the IRS look for a payment as soon as I electronically file, or will they only check to make sure payment has been made by April 15? Thanks for any clarification on this.