"in the next level" is a correct and commonly used phrase in written English.
It typically refers to a future stage or stage of advancement or progression. Example: "After completing my undergraduate studies, I plan to pursue a master's degree in the next level of academic achievement."
I consider myself in the next level of players.
Late Monday morning, the college relented; Dean Watts said the department could add a couple of class sections for the best students in the next level down.
The crowd that usually attends a dress rehearsal — friends and employees — was in the next level up, peering down at the moneyed guests below, and taking pictures of Natalie Portman, who sat, demurely, in the front row, wearing a brocaded Dior gown.
The smoothed volume LLL is further decomposed in the next level to achieve multi-resolution representations.
Then, the same process is repeated to find out the elements in the next level.
In the next level, parts and devices are combined into functional cells and further into cellular communities.
In general, the next level switches attention from individual genes to gene networks and superordinate biological processes.
Although those 238 admirals are the focus of ELO's responsibility, it also extends to several thousand in the next levels in the organization, who often sit side by side with the admirals in development activities.
The results indicated that in residential buildings in tropical regions, changing ceilings and ceiling materials are the most effective way to reduce energy consumption; moreover, wall materials and inside temperatures were in the next levels of significant factors respectively.
One level in the block (one slice) can contain one or two positive cells but such cells could be absent in the next levels.
Our understanding of how chromatin fibers wind up into rod-shaped mitotic chromosomes in the next levels of organization is – at best – rudimentary.
