Blatter attended the draw for the last Olympic football tournament in strategically important China, but will leave the London draw to his general secretary, Jerome Valcke.
Blatter’s absence from a high-profile media event such as a major tournament draw is unusual, but does mean he will avoid further questions over Fifa’s ongoing reputational crisis.
His absence may be interpreted as a snub, as he is attending an event in Rome the previous evening, and Fifa confirmed on Tuesday that he is not scheduled to attend the London event, although he could yet change his mind.
Valcke will oversee the draw, as he did for the 2008 Olympics and the 2010 World Cup, with assistance from a number of celebrities being lined up by the London Organising Committee of the Olympic Games.
Unfortunately for Locog, hoping to use the draw to drive interest in the Olympic football tournaments and help shift 1.5 million unsold tournament tickets, David Beckham is unlikely to be among them.
We've talked about it so much. For a tennis player, you'll play in the Olympics once - maybe twice - and I'd love to be a part of it.
"In tennis, for women's singles, there's one gold medal. One. That's it!"
In normal circumstances, Watson would spend late July and early August training and competing in North America ahead of the US Open.
But this year she will be in London regardless of whether she makes it to the Games.
"I definitely don't want to be there [in the US] during the Olympics but I don't think I would be, I think I'd be here anyway," she explained. "I mean, you can't miss it.
"Growing up, I always watched the Olympics. I watched the track more than anything, and I love watching the gymnasts as well. Usain Bolt sticks out for me, he's awesome."
Watson has been named alongside Baltacha, Keothavong and Robson in the Fed Cup Team for the upcoming tie against Sweden on 21-22 April.
The team is unchanged from the one that won the World Group II play-offs, beating the Netherlands, Israel and Portugal in the Euro/Africa Zone Group I competition and then Austria in the promotion play-off.