The newspaper recalled that Merkel recently rejected Bavarian Prime Minister Horst Seehofer's offer to introduce quotas on the number of migrants entering Germany.
Speaking at a closed meeting of Germany's ruling Christian Social Union party, Seehofer, who also serves as the party's leader, said that he, like all the German MPs, wants to solve the migration problem with Merkel as Chancellor of Germany, but that the issue should be resolved as soon as possible.
"If Merkel fails to quickly take control of the situation, someone else will possibly try to do so without her participation," Saarbrucken Zeitung said.
Seehofer has repeatedly called for limiting the influx of refugees to 200,000 per year, explaining that only that many people can be successfully integrated in the country.
According to the latest estimates by the EU border agency Frontex, around 1.2 million migrants arrived in EU countries in the first ten months of 2015. The European Commission said in turn that the current global migration crisis represents the worst such deadlock since the Second World War.