ESP8266 and single wire devices

It seems that I keep having issues with single wire devices like the DHT22 or the ATSHA204A in combination with the ESP8266. I suspect that there is a problem with timing when bitbanging the line.
For the DHT22, I always ready try readin multiple times and 20-50% fail. With the ATSHA204, I only saw one success at all when testing today. The same breakout worked on a Pro Mini without any issues.
Does anyone else have such problems, or is this a well known issue?