VLOOKUP Multiple Criteria (Dates)

Hello - In column I, there is a list of dates - month and day only

In column J there is a list of dates, month,day, and year.

--I----------------J
1/14----------1/14/2009
1/14----------1/15/2009
1/14----------1/16/2009
1/15----------1/17/2009


in column K, I am trying to setup a Vlookup statement that states if the month and day in column I = the month and day in column J then return the value in column J.

I have the following formula, but it just returns N/A.

=VLOOKUP(AND(MONTH(H1),DAY(H1)),H1:I2001,2,FALSE)

I have tried different variations and different methods to no avail. I have even tried adding an if statement into the mix. I have tried using direct/match without success and my knowledge of Excel in this area is limited.
Help is much appreciated. Thank you for your time.