Here in Texas, TREC licensed inspectors are required by the TREC SoP to compare ALL dwellings (regardless of age) to the current standards of the NEC in regard to GFCI protection.

From the TREC SoP;

"...(2) inspect all accessible receptacles and report as in need of repair a receptacle in which:

...(G) ground fault circuit interrupter devices are not properly installed as set forth by the current edition of the National Electric Code, publication 70A of the National Fire Protection Association, or do not operate properly as shown by use of a separate testing device;"

Now from the 2005 NEC in article 210.8 titled "Ground-Fault Circuit-Interrupter Protection for Personnel."

"...(A) Dwelling Units. All 125-volt, single-phase, 15- and 20-ampere receptacles installed in the locations specified in (1) through (8) shall have ground-fault circuit-interrupter protection for personnel.

...(7) Laundry, utility, and wet bar sinks — where the receptacles are installed within 1.8 m (6 ft) of the outside edge of the sink."

It seems that we have a winner! Here in Texas we would write your described situation up as being in need of repair.

BUT WAIT! There is an exception or two in the code to consider and Matt touched on this in his earlier post.

Also from the 2005 NEC;

"Exception No. 2 to (2): A single receptacle or a duplex receptacle for two appliances located within dedicated space for each appliance that, in normal use, is not easily moved from one place to another and that is cord-and-plug connected in accordance with 400.7(A)(6), (A)(7), or (A)(8)."

So if the outlet in question is a plug installed within the dedicated space for the washer/dryer then the exception would apply and, Here in Texas, we would not be required to write that up as being in need of repair.

Clear as mud?