Taylor told BBC Radio Leeds: "We've near on agreed and it's just a case of meeting one of them.
"I know two of them but I'm quietly confident that by the first of July we will have a healthy squad."
He added: "I definitely want to bring in half a dozen. I think we finished off the season very well and I don't think that we need massive numbers.
"The way the team finished they were first-class, so half a dozen maximum."
Taylor is also hopeful that several of his out of contract players will accept the new deals being offered to them.
Lee Bullock and Simon Ramsden have already indicated that they will stay at Valley Parade, with Taylor just waiting on a decision from Michael Flynn.
"I honestly haven't heard anything negative so I'm very hopeful that they'll be signing and staying - I'm very confident of that," Taylor said.
Source: BBC Sport
Source: BBC Sport