The Clarets moved early to secure a deal for Nathan Collins from Stoke City, and have since signed veteran goalkeeper Wayne Hennessey on a free transfer.
But manager Sean Dyche knows how important it is for his side to keep growing.
"We still need a bit of strength; we are still looking at players and options to bring in. We know that we need a bit more depth, but we had Vyds come back in the building and training this week.
"We'll wait and see with Woody of course, but when they come back it bulks us a little bit. There's Kevin Long and Popey, but we still need a couple more beyond that. We want to see if there's one or two we can bring in."
Asked if any deals were edging closer to completion, he added: "No, not at the moment.
"There are a few things that we're hopeful on, but we'll have to wait and see as usual. I've said all along, we want to be productive and challenge ourselves in the market where we can, but it's not going to be a case of ripping up the whole model and starting again.
"There's not going to be money everywhere. We'll try and tailor the right funds to go towards the right areas and get players in. We do need a bit more strength, we know that!"
We’ve gathered the best of today’s Premier League transfer speculation below...