This is according to reports from The Daily Star, which suggests that the Tigers will pay £5.25 million for Bertrand and will also swoop for Morgan Amalfitano as they look to consolidate their position in the Premier League after a comfortable first season back in the top-flight.
Despite Hull's obvious desire to recruit England international Bertrand, any deal will surely not be straightforward to complete given the aforementioned interest of two more reputable clubs.
Liverpool must surely be considered the frontrunners in any race to sign Bertrand, with the Reds having secured their place in the group stages of next season's Champions League having finished runners-up to eventual champions Manchester City in the English top-flight last season.
Liverpool boss Brendan Rodgers has previous experience of working with Bertrand, while the Northern Irish boss is clearly in need of reinforcements at left-back with the underwhelming Aly Cissokho having departed Anfield.
Tottenham are also obviously in need of a new left-back, with young Danny Rose having struggled to prove that he is a worthy long-term option in what is quickly becoming somewhat of a problem position at White Hart Lane.
Despite Hull's impressive run to last season's FA Cup final, you have to assume that they would still find it immensely difficult to compete with both Tottenham and Liverpool for Bertrand if indeed either of those clubs were indeed to make an official offer.