NFL Rule Fumbling OOB in the final minute

[RamTime]

If a ball carrier fumbles OOB in the final minute is this intentional stoppage of the clock? Say a team has no timeouts or wants to save their final timeout and a ball carrier that looks like he will be tackled in bounds lunges for the sidelines and before he hits the sidelines the ball is lose but it ends up going out of bounds. Are officials suppose to run 10 seconds off the game clock before the ball can be put in play on the ready for the play signal?