The two German superstars have been linked with moves to England with a report in Spain, picked up by the likes of the Daily Mirror and the Daily Mail, suggesting Hummels was on the brink of a €20m (£16m) move to Manchester United.
Reus meanwhile, had been tipped for a move to Barcelona before they signed Luis Suarez, and there was even some talk of a speculative bid from Liverpool for the attacking star, but Klopp says all such rumours should be ignored.
"Both will stay here this season. There is no indication they'd want to be elsewhere," he told the German press.
"Did they also say €20m (£16m) (for Hummels)? When papers mention such numbers you know it is garbage."
Hummels was one of the stars of Germany's World Cup winning team, while Reus would have been a key member of the squad but was injured just before the tournament.
Premier League fans are crying out for their clubs to sign Reus and Hummels and understandably so as they are both fantastic players.
However, they seem to forget that they already play for a massive club that has been challenging for the Champions League trophy for a number of seasons.
Klopp is right when he says the reports linking Hummels with United for just €20m (£16m) are simply ridiculous.
Dortmund let Robert Lewandowski's contract with Dortmund run out rather than sell him to Bayern Munich and the only reason Mario Goteze left the club is because Bayern met his buy-out clause.
They are not a selling club so it would take a huge bid for either player for them to be even tempted.
Jürgen Klopp - VfB Stuttgart vs Borussia Dortmund - Bundesliga 2012/2013 (Reuters)
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