What do the instructions on the swing say? A lot of these sort of things say they are only suitable until baby can sit up so it may not be safe now (which I know was your point).
I know what you mean about babies lurching off in odd directions though - grabbing for the computer, grabbing for the cat, wanting to look at the carpet.... You just constantly have to have a hand on them or a leg around them or something to keep them safe I'm afraid. At least she's little at the moment so she won't have quite as much momentum as she will.
She's going to take a nose dive one of these days!
