Murphy has been impressed by Kane's willingness to work hard for the team, even when his own goalscoring form has been poor.
And the former Fulham midfielder believes that the 22-year-old has a similar style to Rooney, in the sense that he still performs a valuable function for the side, even when things aren't going his way.
"Give great credit to Harry Kane. I've watched a lot of him this season, and even when things haven't been going well he still contributes - he puts himself about, he hustles, wins headers and chases back," Murphy said. "That's a great quality in a player, we have talked about Wayne Rooney adding that to a team for years."
Kane had scored just one goal in 13 matches for Spurs prior to this weekend, but a hat-trick against Bournemouth should have restored his confidence.
The England international was in fine form, as he finished off three chances in Tottenham's 5-1 win on the south coast.
Mauricio Pochettino will now be hoping that Kane can get back to his clinical best, which saw him net 31 goals during his breakthrough 2014/15 season.
Tottenham have made a good start to the new campaign, but there is a realisation that they need to score more goals if they are to break into the top-four, and Kane will be crucial to seeing them improve in an attacking sense.