It was an eventful afternoon for Oduwa, who scored a sublime opener before being wiped out in a challenge with ex-Spur Charlie Lee and stretchered off unconscious on 35 minutes. Thankfully, he regained consciousness and was able to take his place on the sidelines to watch the second half.
Harrison fired home the second goal from the penalty spot five minutes from time after being clattered by Stevenage's substitute, triallist goalkeeper.
The match against Teddy Sheringham's League Two side again ticked all the pre-season boxes with young goalkeeper Tom Glover producing a commanding performance, a clean sheet, a victory and a physical test ahead of the Barclays Under-21 Premier League opener against Everton on August 10.
We controlled the first half but chances were few and far between with Stevenage happy to sit in and let us try to break them down.
Our best moments came down the flanks with Connor Ogilvie and Kyle Walker-Peters constantly looking to get forward. The full-backs almost combined for the first chance on five minutes as Ismail Azzaoui released Walker-Peters down the right and Ogilvie raced into the box to meet his cross but couldn't direct his attempt on target.
Oduwa did just that though two minutes later with a fine solo goal out of nothing.
The winger looked surrounded as he picked up the ball in the left channel but he picked a gap and sped through, leaving three defenders in his wake. He then side-stepped the fourth before firing past Chris Day from the left angle.
The next chance fell to Cameron Carter-Vickers on 18 minutes as the defender pulled away at the far post to meet Azzaoui's corner, only to head over. At the other end, Glover showed great hands to collect Dean Parrett's dangerous free-kick.
Oduwa's afternoon ended on 27 minutes when he was left motionless by Lee's challenge. The game was held up for seven minutes as he received treatment before being stretchered off.
Cy Goddard replaced Oduwa with Azzaoui switching to the left. We almost opened Stevenage up on 41 minutes when Ogilvie found Harrison who backheeled into the path of Goddard but Dean Wells managed to get back and clear.
The second half started slowly but sparked into life on 55 minutes when Glover claimed a corner and released Azzaoui, who drove forward before letting fly from the edge of the box, his shot blocked. Azzaoui then tried his luck from a central position, this time Stevenage's triallist goalkeeper blocked with his feet.
The game stepped up a gear from there as Stevenage clawed their way back into proceedings. Akinyemi's shot was deflected wide and Tom Conlon looped a header on target from Parrett's corner, cleared by Filip Lesniak.
Williams got away from Dominic Ball on the left before testing Glover at his near post, the keeper blocking with his feet.
Play switched to the other end as Harrison produced another save from the triallist goalkeeper down to his right.
Stevenage's best chance arrived on 73 minutes when Parrett's free-kick found Akinyemi diving in at the far post only to plant his header wide from inside the six-yard box. Akinyemi then hit a dipping volley that sailed a couple of yards wide.
Our second goal arrived five minutes from time. Luke Amos sent Harrison clear and the striker was sent crashing by the goalkeeper. Harrison picked himself up and drilled the spot-kick into the corner.
Stevenage: Day (triallist, 46), Hughes, Okimo (triallist, 46), Gorman (Schumacher, 57), Franks, Wells (triallist, 46), Casey (Conlon, 46), Parrett, Williams, Lee (c) (triallist, 46), Akinyemi. Substitutes (not used): Johnson, Pett, Kerr.
Spurs XI: Glover; Walker-Peters (Walkes, 84), Ball, Carter-Vickers (c), Ogilvie; Lesniak (Amos, 69), Veljkovic; Oduwa (Goddard, 35), Azzaoui, Sonupe (McEvoy, 75); Harrison. Substitutes (not used): Voss (GK), Maghoma.