It's an interesting question because you obviously aren't in a hurry to get your 2019 EIC either.
If you file a 2020 return that figures EIC from 2019 information, and your 2019 return is not already on file with the IRS, the IRS will reject your 2020 claim and possibly bar you from future EIC for filing what they would view as a fraudulent claim.
So clearly you need to file your 2019 return first, and wait for it to be fully processed and any refund paid. This may take several months because returns filed on paper are being substantially delayed. Turbotax can't e-file a 2019 return. However, a tax professional might still be able to e-file a 2019 return (although at higher cost than Turbotax) which might mean you could file the 2020 return 6 weeks from now instead of 4 months from now.
So think about cost vs time, and decide if you want to file your 2019 return with Turbotax or a tax professional, and start there.
