Rovers' hope to stage the tie with the League One side at their Winterfield Road stadium, which could have a capacity of around 4,000, and will be screened live on Saturday, November 7, with a 12.45pm kick-off.
Oldham, who reached the semi-finals twice during the 1990s, will take on 1972 cup winners Leeds at 5.15pm in a match steamed live on The FA's website, and through the Perform distribution network, much like the recent England Under-21 European Championship qualifier against Macedonia.
Charlton's trip to Blue Square North side Northwich Victoria will kick-off at 1.30pm on Sunday, November 8, which will be followed by the draw for the second round.
Monday's announcement by the FA means an extra first and second round tie will be screened live, with a third free of charge on their website.
FA chief executive Ian Watmore said: "We are extremely pleased that our long-term broadcast partner, ITV, have expanded their already comprehensive coverage of the competition, bringing great early-round action to their viewers.
"We are also excited to be broadcasting live matches on the internet once again.
"While we continue negotiating our long-term broadcast rights strategy we are delighted that supporters will be in a position to access these games at no additional cost."