Listen, darlin', that 1 pound is nothing to worry about.

My weight can fluctuate 2-3 pounds just with water! So give it a try--I'm not saying go nuts here, I'm saying that you could go up above 1000 and try it for awhile. See what happens! Try 1200 and do it for 2 weeks!
The problem is, if you eat to little, your metabolism starts to slow down. That is just the opposite of what you want! You want your metabolism to burn fat! Exercise can help boost metabolism, but only if you're putting a bit of fuel in there.
If after 2 weeks at 1200, you are gaining, then you can try something else. Think of it as an experiment.
Good luck!
Jay