tsaku100,
Assuming that the vessel is not in Lethal Service or subject to PWHT due to process service, per ASME VIII, Div. 1, UW-40 (f) "the nominal thickness is the welded joint as defined below.
(f)(3) For fillet welds, the nominal thickness is the throat dimension.
(f)(5)(f) the thickness of the weld at the point of attachment when a nonpressure part is welded to a pressure part..."
Per Table UCS-56, Note 2 "Postweld heat treatment [for P-No.1] is mandatory under the following conditions:
(a) for welded joints over 1 1/2in. (38 mm) nominal thickness.
(b) for welded joints over 1 1/4-in..."
Therefore, assuming that the throat of the fillet weld is less than 1 1/4 inch, you may make the welds without subsequent PWHT.