It was suggested on Tuesday that a number of players were involved in a series of incidents before Sunday's 1-0 defeat at home to Chelsea.
While Swansea have admitted that certain "incidents" did take place, Dyer insists that the squad remains united at the Liberty Stadium.
"I know there has been a report in the press today about a training ground bust-up, but I think all the effort and commitment on display against Chelsea proved that we are all working for each other - and not against each other as is being suggested," he told the club's official website.
"The report has blown everything out of proportion and it is not what it seems. We are a good bunch and we work hard for each other."
Swansea continue their battle for Premier League survival on Saturday with a trip to Newcastle United.