At the time a property goes "Under Contract" the Seller has some options... the choice to cease all marketing efforts regarding a property under contract, or... the Seller has the right to choose the option of continuing to market the property, show it and even solicit back-up offers as an added protection, in the event that the transaction fails to close for any reason. As long as the escrow period is proceeding in a timely manner and according to the terms of the contract... the Buyer has nothing to fear in terms of the property somehow being sold to another party. The signed contract between two parties is just that. It is a legally binding agreement between two parties to the terms indicated. As long as there is no default prior to closing... you the Buyer... should feel safe and secure in the knowledge that as of the contract Closing date... if all contractual terms have been met., by BOTH parties... the property is YOURS!