Spurs secured the signing of Burnley right back Trippier last week, with the 24-year-old penning a five-year deal at White Hart Lane.
Trippier arrives as competition for Kyle Walker, which leaves United States international Yedlin as the third choice option under Mauricio Pochettino.
Yedlin, who impressed at last summer's World Cup, arrived from Seattle Sounders in January, and made his debut against Aston Villa in April.
Now though, the 21-year-old faces being on the sidelines behind Walker and Trippier, and the Daily Mail believe that Yedlin could be set for a loan move away from White Hart Lane.
Their report suggests that Tottenham want Yedlin to improve defensively during a loan spell, with Bolton Wanderers and Derby County both interested in signing him.
Derby: ideal destination?
Derby have just appointed Paul Clement as their new manager, with the highly-rated coach bringing experience from Paris Saint-Germain and Real Madrid to the iPro Stadium.
Clement's coaching methods were highly respected by Carlo Ancelotti, and Derby fans will now be confident that he can help develop some of Derby's young talent.
The Rams are expected to make a push for promotion from the Championship next season, and with an attacking brand of football anticipated under Clement, Derby could be the ideal place for Yedlin to develop and grow in a winning team before heading back to Tottenham.