No. It is irrelevant.
The visa officer only need your status proof such as H1 approval notice with the I-94, etc. for your parents' B2 visa application, not need your passport (your passport expiration does not affect your legal status in US).
The visa officer only need your status proof such as H1 approval notice with the I-94, etc. for your parents' B2 visa application, not need your passport (your passport expiration does not affect your legal status in US).