By check, do you mean your deposit? That has nothing to do with ROFR, and generally you don't send the closing funds to the closing agent/broker until it has passed rofr...at least that's been my experience.
A deposit must be made in order to have a valid contract which would then be submitted to DVD for rofr consideration. Closing funds are generally required to be in a certified format - so you would not see in your bank account when that was deposited, only when you removed the funds from your account.
HTH