Scotland Yard said an “appropriate policing plan” will be put in place for Sunday’s clash between Oxford and Cambridge universities.
Patrols across the capital have been stepped up after the Khalid Masood launched a horror attack on Westminster Bridge on March 22.
The 52-year-old ploughed into crowds on Westminster Bridge before fatally stabbing Pc Keith Palmer outside the Palace of Westminster.
Masood was shot dead by police.
Now, detectives have urged thousands of revellers expected to line the Thames to take extra care following the attack.
The Met Police said in a statement: “An appropriate policing plan is in place for the Boat Race. In light of last week’s attack, additional patrols are being carried out across the capital to provide reassurance.
“The security threat level remains at severe and, as always, we would encourage those attending to be aware of their surroundings and be vigilant.”
The Telegraph reported that there are no plans for visible armed patrols along the four-and-a-half mile stretch of river from Putney to Mortlake.
According to the newspaper, the security plan is focussed on the whole course rather than specific landmarks such as Hammersmith Bridge and Putney Bridge.
Race director Michelle Dite told the Telegraph: “We have been in constant communication with the Metropolitan Police following the incident in Westminster.
“We would like to take this opportunity to reassure all those planning to attend that we are taking appropriate advice to ensure a safe and enjoyable experience for all.”
A suspected World War Two bomb found on the banks of the Thames at Putney Bridge has also sparked concerns over whether the 163rd race will go ahead.
A Met Police spokesman said no decision on how to deal with the reported device, which is submerged, will be made until the tide turns at 1pm on the day of the event.