The 23-year-old is currently plying his trade for AC Milan and he has rejuvenated his career after a difficult spell at Anfield.
The Spaniard was deemed surplus to requirements by former Reds boss Brendan Rodgers, but since moving to the San Siro in 2015 he has found his best form.
Suso has bagged six goals in Serie A this season, while he has also weighed in with seven assists so far.
The playmaker's form has attracted the interest of Tottenham, who have been linked with a summer swoop for the former Spain under-21 international.