In the fields of tissue engineering and regenerative medicine, many researchers and companies alike are investigating the utility of concentrated mesenchymal stem cell suspensions as therapeutic injectables, with the hope of regenerating the damaged tissue site. These cells are seldom used alone, being instead combined with synthetic biomacromolecules, such as branched poly(ethylene glycol) (PEG) polymers, in order to form cross-linked hydrogels postinjection. In this article, we present the results of a detailed experimental and analytical investigation into the impacts of a range of eight-arm PEG polymers, each presenting functional end groups, on the rheological properties of concentrated living cells of mesenchymal origin. Using two-photon confocal microscopy, we confirmed that the aggregates formed by the cells are fractal structures, the dimension of which changed with PEG polymer type addition. From these results and the observed substantial variation in rheological footprint with increasing volume fraction and different PEG polymer type, we propose a number of mechanisms driving such structural changes. Lastly, we derived a modified Krieger-Dougherty model to produce a master curve for the relative viscosity as a function of volume fraction over the range of conditions investigated (including shear stress and PEG polymer type), from which we extract the adhesion force between individual cells within these concentrated suspensions. The outcomes of this study provide new insights into the complex interactions occurring in concentrated mesenchymal cell suspensions when combined with synthetic biomacromolecules commonly used as precursors in tissue engineering hydrogels, highlighting their substantial impacts on the resultant rheological footprint.