Danns, who missed most of last season with a hamstring injury, is being lined up for another loan spell away from Anfield after returning to action for Liverpool's under-21s against Everton at Goodison Park, while Bajčetić's own long road back from injury could end in a permanent return to boyhood club Celta Vigo.
Under-21s manager Rob Page said Danns had impressed in training and needed regular football to continue his recovery.
"He needs game time, but that will definitely help him. He has looked really strong in training and that was a difficult game for him to come into – local derby, Everton away, Goodison Park," Page said. "He couldn't wait to get out there, but we weren't in complete control of it.
"It was quite a feisty encounter, which added spice to it, but with regards to Jayden, he is in a good place."
Page added that talks over Danns' next step would follow now that he has minutes under his belt.
"There are conversations we can have now that he has played some minutes. Now he looks in good condition, the next step for us is to have those conversations and have a sit down together as a collective, to do the right thing for Jayden, whatever that may be. We'll have conversations and we'll come up with the right thing for Dannsy."
Bajčetić's situation is more advanced. According to Faro de Vigo, Celta want the 21-year-old academy graduate back on a free transfer, but only if he agrees to terminate the remaining year of his Liverpool contract, which runs until 2027 — a route similar to the one Mohamed Salah took when leaving for Trabzonspor this summer.
The Spanish club do not intend to move Bajčetić straight into their first-team squad, instead planning to place him with their Fortuna reserve side to help him rebuild fitness after a year and a half sidelined by a serious injury and a series of subsequent muscle setbacks.
Celta head coach Claudio Giráldez confirmed his club's interest but stopped short of confirming an agreement.
"If he's happy and we can reach an agreement, it would be a good situation, but I'm not thinking about that right now," Giráldez said. "He's a homegrown player; I don't talk about players we don't have. If I talk about any of them, it's those who have been here before because we understand that we always have a stronger connection, and on top of that, we have a very good relationship. I coached him."
Bajčetić, who has not played a senior minute for Liverpool in over two years and has had loan spells at RB Salzburg and Las Palmas since his breakthrough under Jürgen Klopp, does not currently feature in Andoni Iraola's plans, with the club understood to be actively looking to move him on. The development comes days after Liverpool completed the £30 million sale of Curtis Jones to Inter Milan, continuing a summer of midfield turnover at Anfield.