Albion have recently surrendered top spot in the Championship and slipped to fourth place in the table after just one win in their last five league matches, but they eased into the sixth round of the cup with a resounding 5-0 victory over Midlands rivals Coventry at the Ricoh Arena.
"The League is the priority still because we can´t let the possibility of getting to the semi-final of the FA Cup ruin our chances of promotion," said Mowbray.
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