The Danish Football Association (DBU) is looking for replacements for regular national team players for this month's matches against Slovakia and Wales after contract negotiations broke down.
With head coach Age Hareide also involved in the dispute, Denmark have chose to place former midfielder Jensen in charge of the team for Wednesday's game, which could reportedly include uncapped players from lower leagues or even futsal professionals.
Danish Superliga and First Division players have not been included in the 24-man squad, their places instead taken by second division, plus third and fourth-tier players.
The DBU has yet to confirm the names of the 23-player squad which is to face Slovakia on Wednesday and Wales on Sunday.
Playing against a second-string side gives Wales a major advantage against Denmark and could give them a head-start in qualifying for the 2020 Euros.
Sweden were awarded a 3-0 win and Uefa fined the DBU £18,000 (Dh85,000).
The dispute concerns the rights of players, like Spurs' Christian Eriksen, to sign sponsorship deals with companies that compete with sponsors of the national team.
Coach Aage Hareide will not be in charge of the team as the DBU does not want him to manage a side he did not pick himself. The players' travelling conditions are also an issue.
A contract dispute with the Danish national women's team led to the boycotting of a World Cup qualifier against Sweden past year, leaving the DBU with a US$23,100 fine and a final warning from Uefa over the cancellation of matches - forcing the association's hand.
As such, according to Danish paper Ekstra Bladet, the squad includes relatively unknown lower league players and even members of the national futsal team.
"If the games are not played, we may be fighting millions in fines and exclusions for both national teams - and Danish football will be returned to the stone age in many areas".
"We have to solve this conflict now, not just digging the ditches deeper", he stressed in a statement on the official Danish Player Association website.
Former Arsenal midfielder John Jensen has been named as the Denmark manager for the two games.
"We must field teams in the two global matches to avoid millions in fines and possible exclusion of the national team for several years", said Kim Hallberg, the DBU elite manager.
"We do not want to negotiate so close to global matches", he said.