"I hope so," said Sousa. "If not we have all of August to find the right player.
"The sooner they come the easier it is for him to adapt to our ideas and identity and fight for a position like the others.
"The most important thing to have is desire and hunger from the player and ambition to play in our squad, because it's not easy to play in our squad.
"We are trying to get a good deal for the club, for myself, for the player and for the club he represents."
So, far Sousa has brought in midfielder Jordi Lopez from Queens Park Rangers.
Lopez joins Queen of the South striker Stephen Dobbie and Southampton winger Nathan Dyer as Swansea's other summer signings, brought in before previous manager Roberto Martinez left to take over at Wigan.
Sousa is looking to strengthen other positions but confirmed that he will cut his squad by the middle of next week, with around 10 players being free to leave and some being sent out on loan.
"I expect to have 24 or 25 players and the others to make the best decision for them," he said.
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