There are not expected to be any formal discussions about Britain's European Union exit.
During pro-government rallies over the weekend following the failed coup, calls for the restoration the death penalty for putsch plotters could be heard from the crowd.
The Turkish government had arrested at least 6,000 people by late Sunday after surviving an attempted uprising, even as Erdogan mourned the dead.
Kerry added that Turkey must "uphold the highest standards for the country's democratic institutions and the rule of law".
The government has blamed Friday's failed coup - which it says killed 208 government supporters and 24 plotters - on backers of a U.S.-based Muslim cleric who has become President Recep Tayyip Erdogan's chief opponent. U.S. Secretary of State John Kerry said Wednesday that Turkey must provide hard evidence that Gulen was behind the foiled coup if it wants him extradited, and that mere allegations of wrongdoing wouldn't suffice.
As Western officials expressed alarm at the rapid roundup of so many by their key North Atlantic Treaty Organisation ally, Turkish government officials explained that the plotters in the military had been under investigation and launched their ill-planned operation out of panic. Other media reports said police, military police and members of the coast guard also were removed from duty.
Erdal Ozturk in October 2014 with US Special Operations Command General Joseph Votel in WashingtonReuters
Both the European Union and the USA need Turkey right now and are limited in how far they can push the criticism. Thousands of judges who may have had no role in the coup have also been dismissed.
Gen. Ozturk was the commander of the Turkish air force from 2013 until 2015.
Ozturk was one of 27 generals and admirals being interrogated by Turkish security forces on Monday, according to NBC.
The sacking of thousands of police officers followed orders for the detention of thousands of judges and prosecutors in the aftermath of Friday night's coup, in which more than 200 people were killed when a faction of the armed forces tried to seize power.
"I am aware that false words, attributed to me, are now being circulated on social media, largely by users who appear to be sympathetic to Fethullah Gulen, suggesting a lack of respect for Turkey's democratically elected government", Bass wrote.
German Chancellor Angela Merkel's spokesman said Monday that Turkey reinstating the death penalty would mean the end of negotiations for the country to join the EU. Followers of Gülen in the Turkish civil, judiciary, and police have been repeatedly purged over the past two and a half years. Gulen denied any connection with the coup.