While the search continues for a permanent successor to Stuart Pearce as under-21s boss, Hodgson has been looking after the squad over the last few days for their friendly clash with Scotland.
The end result was a 6-0 victory over the Scots on Tuesday night at Bramall Lane, and afterwards the 66-year-old said he had enjoyed the whole experience.
He was, though, at the same time keen to emphasise the one-off nature of the arrangement.
Hodgson has combined the under-21s duties with his regular job as manager of the seniors, who face Scotland at Wembley tonight, and asked if he would like to do something similar again, he said: "I don't think it's feasible.
"A lot of the time there is an overlap, and furthermore, I don't think it's right - these players need someone who is going to be really concentrating on them and following them.
"I will see some of the players - when I go around looking for seniors, I will see some of these.
"But we need a manager who is going to follow them even if they are playing reserve team football.
"They need someone who is going to carry on the work that Stuart has started which we have tried to carry on here in this brief spell we have had."
The Football Association is looking to have a new under-21s boss in place in time for the start of the team's 2015 European Championship qualifying campaign.
The Young Lions' qualifiers begin with a double-header next month, at home against Moldova and then away in Finland.
Pearce lost his job after his side were beaten in all three of their matches at this summer's 2013 Euros tournament in Israel, where they failed to score a single goal from open play.
As a consequence of that performance - as well as a disappointing Under-20s World Cup for England later in the summer - there have been plenty of questions asked of late about the development of the country's young players.
But Hodgson felt the way in which the under-21s blew Scotland away in Sheffield sent a defiant message to those who have criticised the Three Lions youth set-up.
England were ahead in the third minute when Nathan Redmond latched on to a long ball forward from Jonjo Shelvey, advanced into the box and finished coolly past goalkeeper Jordan Archer.
Raheem Sterling slotted in the second in the 38th minute when the ball deflected through to him in the area off Connor Wickham from Redmond's flick.
It was 3-0 five minutes after the break when Archer miscued an attempted clearance and sent the ball to Wickham, who hooked it straight into the net.
A quickfire double followed, with substitute Ross Barkley scoring in the 55th minute after combining with Wickham, and Shelvey looping home a long-distance effort in the 56th.
Another substitute, Tom Carroll, then wrapped up the scoring in the 61st minute with a rising shot from Redmond's cut-back.
Hodgson said: "There were a lot of good performances, and I was delighted for those individuals who gave such good performances throughout.
"I was really pleased that even when we were dominating the game and leading comfortably, we never once started to slow down - in fact, the pressurising and determination to win the ball back and pin the Scots in their own half was just as great at 90 minutes as it was in the first minute, and that is not always something you get in a football match.
"Redmond was named the man of the match, but Shelvey must have run him close and I would have thought Raheem Sterling must have also been pretty close."