Buying ised caravan with existing finance on it

We have been to see a caravan and want to buy it.  But, the existing owners told us there is outstanding finance on it.  They need the money from the sale to be able to clear the finance.

They are ringing the finance company tonight to find out what is the best way to do this so that neither party is at risk of losing out.  We have no reason to doubt the sellers but we dont know them so we cant take any chances.

What do we do?  What do you think the finance company will suggest?  Ive thought that they might suggest we pay the finance company directly and the sellers can transfer the ownership of the caravan to our name.  But is this safe?

Please help, urgent replies needed.