According to The Athletic, the Premier League new boys have agreed deals for both players, who are expected to cost a combined fee of more than €30 million plus a sell-on clause.
Enciso already knows Ipswich well, having spent half a season on loan at the club roughly eighteen months ago. The 22-year-old attacking midfielder impressed during that spell before returning to Brighton and later moving on to Strasbourg, and his return gives manager Gary O'Neil a player who already understands what is expected of him at the club.
Ouattara, by contrast, represents a different kind of recruitment. A product of Strasbourg's own academy, the move to Suffolk will be the 20-year-old's first step outside French football, with the versatile right-back offering both immediate depth and long-term development potential.
Both players previously worked under O'Neil during his time in charge at Strasbourg, adding a layer of familiarity to the move as they prepare for their first taste of Premier League football together.
The double deal continues a busy summer of recruitment at Portman Road, with the club having already committed close to €170 million in the transfer market this window as they prepare for life back in the top flight.
Enciso's return follows an eventful stint in French football, where the Paraguay international moved to Strasbourg from Brighton last September in a deal worth around €9.5 million, with the English club retaining a sell-on interest.
His departure will come as a blow to Strasbourg, who are already without Joaquín Panichelli through injury and had been searching for reinforcements up front even before Enciso's exit became apparent.
Ouattara's move represents a rare departure for one of Strasbourg's own academy graduates, with the defender having progressed through the club's youth ranks before establishing himself in the first team. His versatility across multiple defensive and midfield positions should give Ipswich Town options as the club looks to consolidate its return to English football's top flight.