Subject: If a black hole and a supergiant star were close to each other

This is in response to another question answered by you earlier.  If a 
star, that was in equality distance to a black hole, were to start to 
swell and some of the matter started to fall into the black hole, 
wouldn't that star eventually start to lose it's gravitaional mass and 
eventually fall into the hole itself?  Thanks in advance!

Re: If a black hole and a supergiant star were close to each other