1. A computer program product for indicating that a transaction is close to completion in a multi-processor transaction execution environment, the computer program product comprising: a computer readable non-transitory storage medium readable by a processing circuit and storing instructions for execution by the processing circuit for performing a method comprising: beginning execution, by a processor, of instructions of a transaction in a transaction execution (TX) mode; and executing a transaction hint instruction of the transaction, wherein the transaction hint instruction includes a threshold indicating a proximity to a transaction completion instruction; and based on the proximity to the transaction completion instruction, determining whether to suppress an abort event from causing an abort of the transaction.