The speedy wide-man’s lack of playing time at Spurs last season saw him miss out on England’s World Cup squad – for which he was not even named as a reserve – despite having been in the Three Lions’ ranks for the last two instalments of the competition.
He managed just one goal in 33 displays last term, many of which came from the bench, and is no longer thought of as a key figure at White Hart Lane.
This has alerted Allardyce, who is keen to inject some pace and flair into his XI following criticism from large sections of the Hammers’ support.
He sees the electric-fast winger as a good candidate to supply further ammunition for Andy Carroll as he looks to make sure a battle against relegation is not repeated in 2014/15.
The 27-year-old himself may be ready for a change of scenery after moving to Tottenham in 2005 as a highly-rated youngster from Leeds.