According to reports from Italy brought to our attention by the Daily Express, the Reds are sizing up a deal worth in the approximate region of £30 million for Chelsea target Higuain as they further seek to replace the lost genius of Luis Suarez following a worryingly slow start to the 2014/15 campaign.
This could be bad news for the Gunners, the same source further hints, as Napoli have supposedly identified Porto striker Jackson Martinez as the ideal replacement - a player that Arsene Wenger is said to be still keen to capture after long being linked with his signature.
Liverpool's desire to increase their productivity in the final third is a clear indication that Rodgers is far from confident that the duo of Rickie Lambert and Mario Balotelli are capable of replacing the 31 league goals that controversial Uruguayan forward Suarez notched for the Reds on their way to last season's impressive second-placed finish.
While it is obviously still early in their respective Anfield careers, neither Lambert nor Balotelli - who moved to Merseyside during the recent transfer window from Southampton and AC Milan respectively - have yet to register on the scoresheet for Rodgers' side in nine combined appearances and Liverpool currently lie 14th in the Premier League following Saturday's nervy 1-1 draw with local rivals Everton.
Former Real Madrid frontman Higuain - a beaten finalist at the 2014 World Cup with Argentina - has only been with Napoli for 14 months now, having joined the Italian outfit for a £32m million fee last July amid serious and sustained interest from Arsenal.
An impressive maiden campaign in Serie A saw the 26-year-old find the net on 26 occasions as Napoli gave themselves a real chance of qualification for the Champions League by finishing third behind runaway champions Juventus and nearest challengers AS Roma.
Despite a prosperous 2013/14 at the Stadio San Paolo, however, Higuain - like Balotelli and Lambert - is yet to find the net this season and rumours have suggested that the growing unrest surrounding the position of former Liverpool manager Rafael Benitez could lead to him considering his own future at the club.
Judging purely by his goal record in European competition, Martinez could certainly be a capable successor to Higuain or indeed a worthychallenger to Olivier Giroud and Danny Welbeck at Arsenal.
The Colombian international boasts a quite unbelievable record of 66 goals in just 65 league games for current club FC Porto as well as 10 strikes in 29 senior international caps.
A known admirer of Martinez, Wenger would presumably be disgruntled to miss out on his talents to a club who are not in the Champions League and who have performed very poorly indeed in recent times.
Although the transfer deadline day acquisition of Welbeck from rivals Manchester United has improved Arsenal's options in the final third, injuries to Yaya Sanogo and Giroud - the latter is sadly not expected to return to first-team action until the new year - have left them still rather short of options in this area.