The academy graduate has been in sensational form this season, for club and country.
He scored six goals in five league games for Spurs in the month, helping them consolidate second place in the table.
Kane told Sky Sports they want more, however, stating the importance of taking one game at a time:
"We're just taking it game by game, with Leicester being top, we're the ones who have to keep putting the pressure on and making them slip up, that's all we can do."
The Lilywhites trail league leaders Leicester City by seven points, and will be hoping to cut the gap over the weekend as they host Manchester United on Sunday.
The England international went on to say how excited the squad are about the potential of league success this season:
"Obviously everyone is going to be talking about it, we're excited for it and focused on what we need to do, and we're looking forward to it."
After scoring at Anfield last weekend, Kane took his tally to 22 Premier league goals, more than other other Spurs player has scored in a single season, eclipsing Gareth Bales record of 21, with six games still to play.
The 22-year-old is fully deserving of the award, and Spurs will need him to produce more of the same in April.