Dyche's right hand man was among six positive Covid-19 tests in the Premier League, which was confirmed on Tuesday night.
The former Nottingham Forest winger, said to be asymptomatic by the club, was told to self-isolate for a period of seven days.
However, there are no major health concerns and Woan is resting up at his home with a view to being tested again on Monday.
With just 0.8% of 748 players and staff in the top flight testing positive, Dyche said: "I don't think it is a shock or a surprise (that we had a positive test) because no-one knows.
"There will be loads of people walking around who don't know if they have got the virus or not so I don't think it was a major surprise in that sense because no-one actually knows until you get tested.
"The surprise was just that he was so well.
"We did the temperature tests before you can get in the training ground and you are not allowed in if your temperature is high. That was all clear.
"He is well in himself, he had no symptoms whatsoever building up to, or on the testing day, or when we got the results so I think he is a bit perplexed more than anything.
"I spoke to him yesterday (Tuesday) and he was still well.
"He was wondering if there might be a delayed period but so far he is clear of every symptom so it is just a case of getting him through the next lockdown period and getting him back on the grass when we can."
The outcome provided welcome news for the league as clubs returned to their training bases this week, albeit while observing physical distancing.
The hope is that play will resume late next month. "What would have been more weird is if there would have been 100," said Dyche.
"Then I don’t know what would have happened then.
"But the fact is there was six out of 748 which is a very, very low number, probably lower than I imagined, just from the fact that because the news has been so powerful about this virus it’s almost in your imagination that every other person has got it.
"To have such a low number surprised people in a common sensical way and in a positive way with the idea of getting football back on track."