The Reds are seeking cut-price attacking cover given Alexander Isak's leg fracture and Mohamed Salah's AFCON absence.
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1908.NL says Liverpool's search has led them to Holland and Ueda.
The Japan international, 27, has been outstanding for Feyenoord, scoring 19 goals in 25 games so far this season.
Liverpool management view Ueda as a reliable squad addition capable of stepping in when needed.
For his part, Ueda would jump at the chance of a move to Anfield, where he would be united with Japan teammate Wataru Endo.