Catalyzes the formation of GDP-L-fucose from GTP and L-fucose-1-phosphate (PubMed:14686921). Functions as a salvage pathway to reutilize L-fucose arising from the turnover of glycoproteins and glycolipids (Probable). beta-L-fucose 1-phosphate + GTP + H(+) = diphosphate + GDP-beta-L-fucose Expressed at highest levels in brain, moderately in testis, ovary and kidney, and weakly in liver, spleen, heart and lung.