That's the same problem. The input bias current has to have something to drop across. So even if it's picoamps and a very small resistance, it's a large voltage. I'll use zero, but it's still a big number. V = Ib/0. So, the usual thing to do is to add series resistors to the inverting/non-inverting inputs. It's a tradeoff of noise and accuracy. Higher value resistors mean higher noise and higher accuracy. 100 to 10,000 is OK. Offset/null may be able to get rid of it, but the resistances are safer.
I ran into it too playing with IA's too.