The New Zealand international striker moved to the West Yorkshire club from Premier League outfit Leicester City earlier this summer.
Leeds are the 11th club that Wood has played for in his professional career (including the clubs where he has been on loan), and he is still only 23 years of age.
Former Forest and Leeds midfielder Prutton has suggested that the former West Bromwich Albion striker is found out easily, which is why clubs do not keep him for long.
“There are two ways of looking at it,” said the former Forest and Leeds midfielder on Sky Sports 1 when asked the question about Wood having played for so many clubs in the build-up to the Championship game between the Whites and Sheffield Wednesday at Elland Road on Saturday.
“The positive way is that somebody always wants you. The negative way is perhaps he gets found out very quickly…
“I think he has got the attributes that (Leeds head coach) Uwe Rosler wants, but he has got to hit the ground running.”
Wood has made a decent start to his Leeds career, scoring two goals and creating five chances in four Championship appearances so far this season.
The striker has a pass accuracy of 54% and a shot accuracy of 18%, and has won 16 headers, one dribble and two tackles.