How much is your monthly income, commitments ,housing loan amount, percentage of loan(e.g.100% or 90/80/70% ), property number?

If you have disposable income to cover for the both loan: you should not worry about approval.

At certain times , if both applications are not submitted to the same bank, banks would assume the loan would be applied for a same property even-though it is different: if this case applies(amount of loan should be almost similar for the both properties), you should not worry about the loan approval.