According to the Catholic Church, could a "Jesus-name" baptism ever be considered a valid baptism?

Related: [What is the earliest extrabiblical teaching of baptism using a trinitarian formula?](https://christianity.stackexchange.com/q/47339/21576) According to Oneness Pentecostals and others, [baptizing in *the name of Jesus*](https://en.wikipedia.org/wiki/Jesus%27_Name_doctrine) , instead of *the name of the Father, Son, and Holy Spirit*, is the correct form, and they point to [Acts 2:38](https://www.biblegateway.com/passage/?search=acts+2%3A38&version=ESV) , [8:16](https://www.biblegateway.com/passage/?search=acts+8%3A16&version=ESV) , [10:48](https://www.biblegateway.com/passage/?search=acts+10%3A48&version=ESV) , and [19:5](https://www.biblegateway.com/passage/?search=acts+19%3A5&version=ESV) as evidence for this position. Of course, critics will argue that the main reason for this argument is that its proponents are avowed non-trinitarians. Still, it seems theoretically possible to me that even a trinitarian Christian, on this scriptural basis, might conclude that it is legitimate to baptize a new trinitarian Christian "in the name of Jesus." So, my question. **Would the Catholic Church ever recognize a baptism "in the name of Jesus" (i.e., *without* the trinitarian formula) as a valid baptism?** If the baptizer and baptized were both Nicene trinitarians at the time of the baptism, might a "Jesus-name" baptism be considered valid? Are there any other conditions that could be met that would make it valid? By "valid," I mean that the baptized would not be required to be rebaptized upon conversion to Catholicism. Perhaps suggesting "no," the Catechism reads: >In the Latin Church this triple infusion is accompanied by the minister's words: "N., I baptize you in the name of the Father, and of the Son, and of the Holy Spirit." [(http://www.vatican.va/archive/ENG0015/__P3J.HTM)] But on the other hand, Cyprian suggests that Pope Stephen thought "Jesus-name" baptism was acceptable: > But, says [Stephen], the name of Christ is of great advantage to faith and the sanctification of baptism; so that whosoever is anywhere so-ever baptized in the name of Christ, immediately obtains the grace of Christ [[Epistle 74.18](http://www.newadvent.org/fathers/050674.htm)]