Republic of Ireland midfielder James McClean has also tested positive with Doherty, who Bale was pictured hugging at the end of the game, but all of the Wales squad players have since returned a negative coronavirus test.
Following these clear results, the decision maker for the Wales League of Nations promotion against Finland is expected to move forward in Cardiff on Wednesday.
“It’s a slight concern for everyone when you’re playing against someone and having close contact with them on the pitch,” Bale said.
“Maybe you’re not long enough with them to catch it, but you’re a little wary.”
“It’s good news that everyone has come back and tested negative and now we can just focus on Wednesday’s game. “
Bale said his Tottenham – and Wales – teammate Ben Davies had spoken to Doherty since testing positive.
“Ben and I spoke to him briefly and he’s fine, he’s just having mild symptoms,” Bale said.
“Hopefully he recovers well, has no problems and will be back as soon as possible.
“FAWs do a fantastic job following all protocols. They make sure we are doing everything right at the hotel and that no one is doing anything wrong in training.
“They did fantastic things with it and we are obviously happy that neither of us tested positive. “
Wales interim boss Robert Page has insisted he is confident in the testing procedures his team has put in place.
“Some associations will use different testing companies,” Page said.
“All I can talk about is ourselves, I can’t speak for Ireland. But we think what we have done is good planning.
“Of course, there will be contact on the pitch. We’ve watched the game back and it’s hard to determine how long you need to be in close contact as well.
“If there is absolutely a risk, we will not take the risk. But our medical protocols have been second to none and we have had constant negative tests which shows that we are doing something right. ”
Tottenham will be without Doherty for Saturday’s game against Manchester City, which is live on Sky Sports.