Retaliating after a military attempt to unseat him, Erdogan has launched a purge that has seen tens of thousands people suspended from their jobs and almost 19,000 detained.
Apparently responding to widening international alarm about the crackdown, Prime Minister Binali Yildirim admitted there may have been some unfair treatment in the state sector.
"There must definitely be some among them who were subjected to unfair procedures," he said in comments published by state-run Anadolu news agency.
Echoing his tone, Deputy Prime Minister Numan Kurtulmus said: "If there are any mistakes, we will correct them".
Turkey, meanwhile, summoned a senior German diplomat, a day after a rally of tens of thousands of Erdogan supporters in Cologne in opposition to the coup.
Hours before the demonstration, Germany's constitutional court rejected an application to show via video link live speeches from Turkey by politicians including Erdogan, over fears they could work up the crowd.
The decision sparked anger in Turkey, with presidential spokesman Ibrahim Kalin calling the move unacceptable and a "violation of the freedom of expression and the right to free assembly".
But Germany, which is home to Turkey's largest diaspora, played down the incident, saying such "invitations" were nothing out of the ordinary.
"In the day-to-day dealings between countries, it is a daily event -- normal for a representative of a country to be called in to the foreign ministry of his host country," German foreign ministry spokesman Martin Schaefer told journalists.
Ties between Germany and Turkey are already strained over the German parliament's decision to brand as genocide the World War I-era Armenian massacre by Ottoman forces.
General Joseph Dunford, chairman of the US joint chiefs of staff, was to meet with Yildirim and Turkish chief of staff General Hulusi Akar.
"He will deliver messages condemning in the strongest terms the recent coup attempt and reaffirming the importance of our enduring partnership for regional security," Dunford's spokesman Greg Hicks said in a statement.
Tensions between the two NATO allies have been aggravated by the foiled putsch, with some Turkish officials even alleging that Washington could have had a hand in the plot. The suggestion has been firmly denied by top US officials.
