In general, it is **never** a good thing to have a slow rising signal on a CMOS (in particular) input, unless it's a schmitt trigger. In this case, that is probably not so.
Looking at the TI datasheet
you will notice the reset input is buffered with a gate, so you can get away with something slower, but I am not sure I would say you can use
1mS for that input.If you need a slow rise time (for other circuit issues), I would suggest using a buffer with a schmitt trigger input to drive the reset pin.
Cheers
PeteS