American Sargent, who has struck four times in five games for the USMNT U20s, swapped Saint Louis for Bremen in January and has spent this season playing friendlies with the U23 squad, with his 18th birthday - and therefore FIFA eligibility - only arriving in February.
Kohfeldt lifted Bremen from 17th to 11th after succeeding Alexander Nouri last October, becoming the first coach in Bremen history to win 12 consecutive home matches, with Max Kruse, a false 9, ending the campaign as Die Grün-Weißen's most potent attacking player with six goals and six assists.
A natural No.9 looked likely to be one of Bremen's primary recruitment goals ahead of next season, but Kohfeldt, whose preference is for a 4-3-3 with a fluid trio in attack, is having none of it.
"A forward who only sticks to the shoulder of a defender is not in my plans," he said. "I like players who can play between the lines. We like to play varied football with movement up front, so a player like Kruse is more in demand."
Ishak Belfodil, a target man signed by Kohfeldt's predecessor Nouri, started just eight games under the current coach, and instead of bolstering attacking options in the transfer market, it looks like the former academy coach will promote from within.
"I have other priorities in the transfer market, and with Johannes Eggestein and Josh Sargent we have two forwards that are ready to kick on. They can play in the box but they're also combination players who are learning a lot from Kruse at the moment."