It may influence how you interpret the cards. I'm bipolar as well and I know that sometimes I just don't interpret things well when I'm having a bad phase. Do you have the self-awareness to know when you're able to work through the depression, when you can still think well and when you should just throw in the towel until your brain gets back on track? If not, it's the illness and nothing to be ashamed of, but maybe you'd want to hold off.
Also, you could write down your thoughts on the cards and try reading them later to see how your less-depressed self thinks you did. Do some test runs.
And maybe ask yourself, are you ever depressed enough that if you got, say, the 10 Swords as an advice card you'd seriously consider killing yourself? Because then I'd probably just stay away from the cards, as a rule, when depressed. I was like that a few years ago. Now I'm never that depressed.