Can't these two just get along?

Last week, FTVLive told you that rumors where flying around the Today Show set that Kathie Lee Gifford and Hoda Kotb were pissed off at each other. It seems that Hoda thought Kathie Lee was not helping her promote her new book on air

Now, the two are fighting over something else.

TMZ reports that Anchors are at loggerheads over moving their hour of "Today" to Hollywood.

Sources connected to "Today" tell TMZ .... Kathie Lee has been lobbying to move the show for a long time, but Hoda has been adamant -- she wants to stay in NYC.  

Our sources say Hoda felt the heat was off when Kathie Lee started doing her Broadway show ... she thought Kathie Lee might get off the whole L.A. thing.  But when the show wrapped in December, Kathie Lee immediately started pushing again for an L.A. move.

"Both women are really strong, so tension is almost inevitable," says one source.  For now, they've reached a compromise ... they would do the show for a few weeks here and there in L.A., but we're told Kathie Lee is unbending -- she wants to make the move.

Sources connected to CAA -- the mega-talent agency which now reps Hoda -- tell TMZ ... Hoda wants new projects in addition to "Today" and if the agency gets her some gigs in L.A. that could change things, but for now she and Kathie Lee are East Coast/West Coast rivals.