Blues goalkeeper missed games against Portsmouth and Wycombe Wanderers ahead of the club's tour of Asia, but is still attending regular training sessions
Cech did not feature in both pre-season friendlies against Wycombe Wanderers and Portsmouth but has been attending regular training sessions.
The Blues will be keen to have their keeper in full fitness for the start of the season as they seek to regain the Premier League title from rivals Manchester United.
The Czech Republic international told his official website: "I have been in regular training but had a small injury issue and we did not want to risk me taking part in those friendlies.
"It was more just out of the safety aspect. There are three of us goalkeepers in the team, so we could afford to leave me out.
"Otherwise, the pre-season has been going well for us and apart from Michael Essien and Alex, everyone else is fit.”
Chelsea suffered from a run of bad form last season, a notable absence being the injured talisman Frank Lampard, so the London club will want to be fully prepared for the season ahead.
"David Luiz and Ramires are with Brazil at the Copa America but otherwise the squad is complete," reflected Cech.
"For the mood of the team it is good that we won both opening friendlies."
Cech was also quick to compliment his compatriot in the side, 18-year-old defender Tomas Kalas, on his performance in the friendlies after he started at Fratton park.
The shot stopper said of Kalas: "Against Portsmouth he made no mistake at all during the half he was on.
"He did superbly, but he is not going to Asia because he is to take part in the European Under-19 Championships.
"Chelsea are enormously popular in Asia and a big amount of people follow the Premier League, so I believe the matches will be played in excellent atmospheres."