Need to match two columns and return a third column value from a table

I have two columns in which I want to match BOTH columns to two columns in a table, and then VLOOKUP return the value from a third column in the table. But I'm not sure if this is possible...

I have attached an example:

On the left, I have two columns of data and the area where I want to have the VLOOKUP. On the right side is the table with 3 columns of data. I want to have A2 and B2 BOTH match to something in columns H and I AND return the value from column J. So if we look in the data, matching A21 & B21 to H & I the value should be Northwest Allied Physicians, but if we only have the one value (like normal VLOOKUP), this doesn't work and it returns OB.

So is there a way to have the VLOOKUP check and match BOTH values before it returns a value?

Thank you!