Wa `alaykum As-Salamu waRahmatullahi wa Barakatuh.
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
Answering your question, we would like to cite following fatwa issued by the late Saudi scholar Sheikh Ibn `Uthaymeen (may Allah have mercy on him):
A debt which is due now takes precedence over Hajj, because this obligation comes before Hajj. So he should pay off the debt and offer Hajj. If he has nothing left after paying off the debt, then he should wait until Allah makes him independent of means.
If it is a long-term debt to be paid off at a future date, and the person feels confident that he will be able to pay it on the agreed date, then, in this case, the debt does not mean that Hajj is not obligatory for him, whether the lender gives him permission or not. If there is no guarantee that he will be able to pay it off as agreed, then he should wait until the date for the payment comes. (Fatawa Ibn ‘Uthaymeen, 21/96)
Allah Almighty knows best.