Help - Dummy or Fingers

Lyla
Ladies my 10 week old baby girl has become really sucky. She is absolutely gasping at her hands constantly. 
She is at the point where she is practically stuffing her fist in her mouth.so the dilemma is should I give her a dummy. 
I don't want her sucking her thumb and it's actually not nice watching her gasp every day, especially at night. 
Comments, views and ideas appreciated.