Red Devils boss Jose Mourinho has complained about a packed fixture list that will see his charges play 64 games by the time the full-time whistle sounds at the Friends Arena in Stockholm on Wednesday.
Mourinho's latest gripe centred on the Premier League's decision to make United play their final league game of the season on Sunday, rather than 24 hours beforehand to give them an extra day's rest.
Bosz, who has already taken aim at Mourinho in recent days, believes that Ajax also have reason to feel just as tired as their opponents.
"We will play our 56th game next Wednesday," he told reporters. "If you look at our age, we have a really young team that has played a lot of games.
"We trained with 24 players today, with no one injured so instead of looking at United, I look at my team. We are fit and fresh and that's a great way to prepare the team for next Wednesday."
"I feel no pressure. Everyone dreams of these games, so there's no pressure, just a big opportunity."
Ajax played their final domestic game of the season last Sunday, winning 3-1 away to Willem II.