Also, most of the properties, once it has an accepted offer and earnest money has been delivered will be set as pending on the local MLS. Pending does not allow more showings. No showings, no offers until you or seller cancel the deal. Or do not close.
Best and congrats on your accepted offer.
That said, with corporate sellers, once the offer has been verbally agreed upon and is "out for signatures", corporate sellers (banks, relocation companies, ...) typically consider it sold and any additional offers would be back-up offers.
Does this make sense?