While Trump has proposed programs related to migrant workers and visa processes, there is no credible evidence that he has launched a program to expedite and simplify visa processing specifically for illegal workers.
Trump to launch program to expedite and simplify visa process for illegal workers.

FactVerify
Source: factverify.com
Key Evidence
Trump’s administration has expanded expedited removal processes targeting undocumented immigrants,
trumpwhitehouse.archives.govtrumpwhitehouse.archives.govThe Trump Administration Is Taking Action to Tighten Foreign Worker Visa... and his recent proposal allows farmers to vouch for certain long-term migrant workers facing deportation but does not broadly expedite visas for illegal workers.
nilc.orgnilc.orgKnow Your Rights: Trump’s Registration Requirement for Immigrants The so-called gold card visa program aimed at wealthy immigrants is unrelated to illegal workers and faces major implementation hurdles.
What the Evidence Shows
The claim that Trump is launching a program to expedite and simplify the visa process for illegal workers conflates several distinct immigration-related initiatives and proposals. Trump’s administration has historically taken a hardline stance on illegal immigration, including expanding expedited removal processes and tightening visa requirements.trumpwhitehouse.archives.govtrumpwhitehouse.archives.govThe Trump Administration Is Taking Action to Tighten Foreign Worker Visa...
americanimmigrationcouncil.orgamericanimmigrationcouncil.orgAfter Day One: A High-Level Analysis of Trump's First Executive Actions
However, recent reports indicate that Trump has proposed a plan allowing farmers to vouch for long-term migrant workers facing deportation, which could enable some undocumented workers to remain in the U.S. If their employers take responsibility for them.nilc.orgnilc.orgKnow Your Rights: Trump’s Registration Requirement for Immigrants This is not equivalent to a broad program simplifying or expediting visas for illegal workers but rather a narrowly targeted measure tied to agricultural labor needs.
Additionally, Trump has promoted a so-called “gold card” visa program aimed at wealthy immigrants, but this faces significant legislative and practical obstacles and does not pertain to illegal workers. The Axios article describes Trump’s new migrant worker visa plan as not being “amnesty lite,” implying it is more restrictive than some might expect.axios.comaxios.com"Not Amnesty Lite": Trump's new plan for migrant worker visas Overall, while there are immigration-related proposals involving migrant workers, none constitute a general program to expedite or simplify visas for illegal immigrants.
The claim oversimplifies and misrepresents the nature and scope of Trump’s immigration policies and proposals.