Swansea became the latest side to leave with three points to make it three losses from the last four games at Gallowgate.
Taylor told the Evening Chronicle: "We will stick together.
"There is no bad atmosphere, which is a good thing. In recent years we might have had a few players kicking off.
"There is no unrest. The gaffer has kept the boys as a tight unit.
"We have to rely on each other and we will get it right."